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	<updated>2026-04-15T20:45:06Z</updated>
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	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Lillian_Ratliff,_1-2_Feb_2016&amp;diff=19243</id>
		<title>Lillian Ratliff, 1-2 Feb 2016</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Lillian_Ratliff,_1-2_Feb_2016&amp;diff=19243"/>
		<updated>2016-02-01T17:56:54Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Lillian Ratfliff will be visiting Caltech on 1-2 Feb 2016.  Please sign up below if you would like to meet with her.&lt;br /&gt;
&lt;br /&gt;
=== Schedule ===&lt;br /&gt;
&lt;br /&gt;
1 Feb 2016 (Mon)&lt;br /&gt;
* Noon: arrive at BUR.  Travel to Pasadena (Caltech car)&lt;br /&gt;
* 1 pm: Yisong  (lunch) - meet at the Ath&lt;br /&gt;
* 2 pm: Pietro Perona, 104A Moore&lt;br /&gt;
* 2:45 pm: open&lt;br /&gt;
* 3:30 pm: open&lt;br /&gt;
* 4:00 pm: Seminar - Munzer Dahleh, 105 Annenberg&lt;br /&gt;
* 5 pm: done for the day&lt;br /&gt;
* 6:30 pm: meet in the lobby of the Ath for dinner with Nik Matni, Vanessa Jonsson, Dj Krishanmurth (location TBD)&lt;br /&gt;
&lt;br /&gt;
2 Feb 2016 (Tue)&lt;br /&gt;
* 7:45 am: breakfast with Richard (Ath)&lt;br /&gt;
* 8:45 am: open&lt;br /&gt;
* 9:30 am: Dj&lt;br /&gt;
* 10:15 am: Adam W, 215 Annenberg&lt;br /&gt;
* 11:00 am: Nikolai M&lt;br /&gt;
* 11:45 am: seminar setup&lt;br /&gt;
* 12:00 pm: seminar, 104 ANB&lt;br /&gt;
* 1 pm: lunch with Richard (Chandler)&lt;br /&gt;
* 1:45 pm: Vanessa Jonsson (330 Braun)&lt;br /&gt;
* 2:30 pm: Joel Tropp, 307 Annenberg&lt;br /&gt;
* 3:15 pm: Niangjun Chen&lt;br /&gt;
* 4:00 pm: Ivan Papusha, 231 Annenberg&lt;br /&gt;
* 4:45 pm: open&lt;br /&gt;
* 5:30 pm: done for the day&lt;br /&gt;
* 6:15 pm: depart from Ath for BUR (Caltech car)&lt;br /&gt;
&lt;br /&gt;
=== Seminar: 2 Feb (Wed), 12-1 pm, 105 ANB ===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
TITLE:&lt;br /&gt;
The Emerging Data Market: Adaptive Incentives for Smart, Connected Infrastructure &lt;br /&gt;
&lt;br /&gt;
ABSTRACT:&lt;br /&gt;
The next generation urban ecosystem empowered by the internet of  things has at its core a shared economy where physical resources and  data are easily aggregated and exchanged. In particular, advances in technology have lead to the proliferation of smart devices that provide access to streaming data and platforms for novel sharing mechanisms. This has, in turn, resulted in an emerging marketplace in  which data is a commodity. At the same time, many urban constituents are increasingly becoming aware of the value of their data and its usefulness for operations. In such an environment, new learning and optimization schemes which consider users as strategic data sources and resource seekers are needed. In this talk, we will discuss the emerging data market, its incentive structure (players and their motivations), and tools for learning with strategic data sources. Focusing on the design of adaptive incentive mechanisms under adverse selection, we will construct an algorithm for online utility learning and incentive design and show convergence results for both the case where players are rational (play according to Nash) and myopic. We will see through a tutorial example how the algorithm performs, and conclude with some open questions and future directions.&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Lillian_Ratliff,_1-2_Feb_2016&amp;diff=19239</id>
		<title>Lillian Ratliff, 1-2 Feb 2016</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Lillian_Ratliff,_1-2_Feb_2016&amp;diff=19239"/>
		<updated>2016-02-01T16:37:36Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Lillian Ratfliff will be visiting Caltech on 1-2 Feb 2016.  Please sign up below if you would like to meet with her.&lt;br /&gt;
&lt;br /&gt;
=== Schedule ===&lt;br /&gt;
&lt;br /&gt;
1 Feb 2016 (Mon)&lt;br /&gt;
* Noon: arrive at BUR.  Travel to Pasadena (Caltech car)&lt;br /&gt;
* 1 pm: Yisong and John Doyle (lunch) - meet at the Ath&lt;br /&gt;
* 2 pm: Pietro Perona&lt;br /&gt;
* 2:45 pm: open&lt;br /&gt;
* 3:30 pm: open&lt;br /&gt;
* 4:00 pm: Seminar - Munzer Dahleh&lt;br /&gt;
* 5 pm: done for the day&lt;br /&gt;
* 6:30 pm: meet in the lobby of the Ath for dinner with Nik Matni, Vanessa Jonsson, Dj Krishanmurth (location TBD)&lt;br /&gt;
&lt;br /&gt;
2 Feb 2016 (Tue)&lt;br /&gt;
* 7:45 am: breakfast with Richard (Ath)&lt;br /&gt;
* 8:45 am: open&lt;br /&gt;
* 9:30 am: Dj&lt;br /&gt;
* 10:15 am: Adam W&lt;br /&gt;
* 11:00 am: Nikolai M&lt;br /&gt;
* 11:45 am: seminar setup&lt;br /&gt;
* 12:00 pm: seminar, 104 ANB&lt;br /&gt;
* 1 pm: lunch with Richard (Chandler)&lt;br /&gt;
* 1:45 pm: Vanessa Jonsson &lt;br /&gt;
* 2:30 pm: Joel Tropp&lt;br /&gt;
* 3:15 pm: Niangjun Chen&lt;br /&gt;
* 4:00 pm: open&lt;br /&gt;
* 4:45 pm: open&lt;br /&gt;
* 5:30 pm: done for the day&lt;br /&gt;
* 6:15 pm: depart from Ath for BUR (Caltech car)&lt;br /&gt;
&lt;br /&gt;
=== Seminar: 2 Feb (Wed), 12-1 pm, 105 ANB ===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
TITLE:&lt;br /&gt;
The Emerging Data Market: Adaptive Incentives for Smart, Connected Infrastructure &lt;br /&gt;
&lt;br /&gt;
ABSTRACT:&lt;br /&gt;
The next generation urban ecosystem empowered by the internet of  things has at its core a shared economy where physical resources and  data are easily aggregated and exchanged. In particular, advances in technology have lead to the proliferation of smart devices that provide access to streaming data and platforms for novel sharing mechanisms. This has, in turn, resulted in an emerging marketplace in  which data is a commodity. At the same time, many urban constituents are increasingly becoming aware of the value of their data and its usefulness for operations. In such an environment, new learning and optimization schemes which consider users as strategic data sources and resource seekers are needed. In this talk, we will discuss the emerging data market, its incentive structure (players and their motivations), and tools for learning with strategic data sources. Focusing on the design of adaptive incentive mechanisms under adverse selection, we will construct an algorithm for online utility learning and incentive design and show convergence results for both the case where players are rational (play according to Nash) and myopic. We will see through a tutorial example how the algorithm performs, and conclude with some open questions and future directions.&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=CDS_140,_Winter_2015&amp;diff=18007</id>
		<title>CDS 140, Winter 2015</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=CDS_140,_Winter_2015&amp;diff=18007"/>
		<updated>2015-01-06T16:35:37Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;Differential Equations and Dynamical Systems&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* Richard Murray (CDS/BE), murray@cds.caltech.edu&lt;br /&gt;
* Lectures: MWF, 11-12:30, 213 ANB&lt;br /&gt;
* Office hours: Wed 2-3 pm (please e-mail to confirm)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson (CDS)&lt;br /&gt;
* Contact: cds140-tas@cds.caltech.edu&lt;br /&gt;
* Office hours: Tue, 4-5 pm, Ann 106&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Analytical methods for the formulation and solution of initial value problems for ordinary differential equations.  Basics in topics in dynamical systems in Euclidean space, including equilibria, stability, phase diagrams, Lyapunov functions, periodic solutions, Poincaré-Bendixon theory, Poincaré maps.  Introduction to simple bifurcations, including Hopf bifurcations, invariant and center manifolds.&lt;br /&gt;
&lt;br /&gt;
=== Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;mw-collapsible &amp;quot; width=100% border=1 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5 Jan &amp;lt;br&amp;gt;  7 Jan&lt;br /&gt;
| Linear Differential Equations&lt;br /&gt;
* Course overview and administration&lt;br /&gt;
* Linear differential equations&lt;br /&gt;
* Matrix exponential, diagonalization&lt;br /&gt;
* Stable and unstable spaces&lt;br /&gt;
* S + N decomposition, Jordan form&lt;br /&gt;
| &lt;br /&gt;
Perko, 1.1-1.10&amp;lt;br&amp;gt;&lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 1|HW 1]] &amp;lt;br&amp;gt; Due: 14 Jan (Wed)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 12 Jan &amp;lt;br&amp;gt; 14&amp;amp;nbsp;Jan? &amp;lt;br&amp;gt; 16&amp;amp;nbsp;Jan?&lt;br /&gt;
| Nonlinear differential equations&lt;br /&gt;
* Existence and uniqueness&lt;br /&gt;
* Flow of a differential equation&lt;br /&gt;
* Linearization&lt;br /&gt;
| Perko, 2.1-2.6&lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 2|HW 2]] &amp;lt;br&amp;gt; Due: 21 Jan (Wed)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 21 Jan &amp;lt;br&amp;gt; 23 Jan&lt;br /&gt;
| Behavior of differential equations&lt;br /&gt;
* Stable and unstable manifolds  &lt;br /&gt;
* Stability of equilibrium points for planar systems&lt;br /&gt;
| Perko, 2.7-2.10 &lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 3|HW 3]] &amp;lt;br&amp;gt; Due: 28 Jan (Wed)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 26 Jan &amp;lt;br&amp;gt; 28&amp;amp;nbsp;Jan? &amp;lt;br&amp;gt; 30&amp;amp;nbsp;Jan?&lt;br /&gt;
| Non-hyperbolic differential equations&lt;br /&gt;
* Lyapunov functions&lt;br /&gt;
* Center manifold theorem&lt;br /&gt;
| Perko, 2.11-2.13&lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 4|HW 4]] &amp;lt;br&amp;gt; Due: 4 Feb (Wed)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4 Feb &amp;lt;br&amp;gt; 6 Feb&lt;br /&gt;
| Global behavior&lt;br /&gt;
* Limit sets and attractors&lt;br /&gt;
* Krasovskii-Lasalle invariance principle (if time)&lt;br /&gt;
* Periodic orbits and limit cycles&lt;br /&gt;
| Perko, 3.1-3.3&lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 5|HW 5]] &amp;lt;br&amp;gt; Due: 11 Feb (Wed)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 9 Feb &amp;lt;br&amp;gt; 11 Feb&lt;br /&gt;
| Limit cycles&lt;br /&gt;
* Poincare&#039; map&lt;br /&gt;
* Bendixson criterion for limit cycles in the plane&lt;br /&gt;
| Perko, 3.4-3.5, 3.7&lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 6|HW 6]] &amp;lt;br&amp;gt; Due: 18 Feb (Wed)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 18 Feb &amp;lt;br&amp;gt; 20 Feb&lt;br /&gt;
| Bifurcations&lt;br /&gt;
* Sensitivity analysis&lt;br /&gt;
* Structural stability&lt;br /&gt;
* Bifurcation of equilibrium points&lt;br /&gt;
| Perko 4.1-4.2 + notes&lt;br /&gt;
* &amp;lt;!-- [http://www.cds.caltech.edu/~murray/courses/cds140/wi11/caltech/L8-1_bfs_sensitivity.pdf --&amp;gt;BFS notes on parameter sensitivity&amp;lt;!--]--&amp;gt;&lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 7|HW 7]] &amp;lt;br&amp;gt; Due: 25 Feb (Wed)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 23 Feb &amp;lt;br&amp;gt; 25&amp;amp;nbsp;Feb? &amp;lt;br&amp;gt; 27&amp;amp;nbsp;Feb?&lt;br /&gt;
| Bifurcations&lt;br /&gt;
* Hopf bifurcation&lt;br /&gt;
* Application example: rotating stall and surge in turbomachinery&lt;br /&gt;
| Perko 4.3-4.5 + notes&lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 8|HW 8]] &amp;lt;br&amp;gt; Due: 4 Mar (Wed)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2 Mar &amp;lt;br&amp;gt; 6 Mar &amp;lt;br&amp;gt; 9 Mar&lt;br /&gt;
| Other classes of dynamical systems&lt;br /&gt;
* Discrete time dynamical systems&lt;br /&gt;
* Finite state automata&lt;br /&gt;
* Stochastic dynamical systems&lt;br /&gt;
| TBD&lt;br /&gt;
| [[CDS 140a Winter 2015 Homework 9|HW 9]] &amp;lt;br&amp;gt; Due: 13 Mar (Fri)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 11 Mar* &amp;lt;br&amp;gt; &lt;br /&gt;
| Course review&lt;br /&gt;
| &amp;lt;!-- Reading --&amp;gt;&lt;br /&gt;
| Final exam  &amp;lt;br&amp;gt; Due: 18 Mar (Wed).  Pick up from Nikki Fountleroy, 107 Steele Lab&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Textbook ===&lt;br /&gt;
&lt;br /&gt;
The primary text for the course (available via the online bookstore) is&lt;br /&gt;
{|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| align=right | &amp;amp;nbsp;[Perko]&amp;amp;nbsp;&lt;br /&gt;
| L. Perko, Differential Equations and Dynamical Systems, Third Edition.  Springer, 2006.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The following additional texts may be useful for some students:&lt;br /&gt;
{|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| align=right| &amp;amp;nbsp;[G&amp;amp;H]&amp;amp;nbsp;&lt;br /&gt;
| J. Guckenheimer and P. Holmes, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields.  Springer-Verlag, 1990.&lt;br /&gt;
|- valign=top&lt;br /&gt;
| align=right| &amp;amp;nbsp;[H&amp;amp;S]&amp;amp;nbsp;&lt;br /&gt;
| M. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra. Springer-Verlag, 1990.&lt;br /&gt;
|- valign=top&lt;br /&gt;
| align=right | &amp;amp;nbsp;[J&amp;amp;S]&amp;amp;nbsp;&lt;br /&gt;
| D. Jordan and P. Smith, Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers, Fourth Edition.  Oxford University Press, 2007. (On reserve in SFL)&lt;br /&gt;
|- valign=top&lt;br /&gt;
| align=right | &amp;amp;nbsp;[Ver]&amp;amp;nbsp;&lt;br /&gt;
| F. Verhulst, Nonlinear Differential Equations and Dynamical Systems, Second Edition.  Springer, 2006. (On reserve in SFL)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Grading ===&lt;br /&gt;
The ﬁnal grade will be based on homework and a ﬁnal exam:&lt;br /&gt;
* Homework (75%) - There will be 9 one-week problem sets, due &#039;&#039;in class&#039;&#039; approximately one week after they are assigned. &#039;&#039;Late homework will not be accepted without &amp;lt;u&amp;gt;prior&amp;lt;/u&amp;gt; permission from the instructor.&#039;&#039;&lt;br /&gt;
* Final exam (25%) - The ﬁnal will be handed out the last day of class and is due back at the end of ﬁnals week.  Open book, time limit to be decided (likely N hours over a 4-8N hour period). &lt;br /&gt;
&lt;br /&gt;
The lowest homework score you receive will be dropped in computing your homework average.  In addition, if your score on the ﬁnal is higher than the weighted average of your homework and ﬁnal, your ﬁnal will be used to determine your course grade.&lt;br /&gt;
&lt;br /&gt;
=== Collaboration Policy ===&lt;br /&gt;
Collaboration on homework assignments is encouraged. You may  consult outside reference materials, other students, the TA, or the instructor.  Use of solutions from previous years in the course or from other external sources is not allowed.  All solutions that are handed should reﬂect your understanding of the subject matter at the time of writing.&lt;br /&gt;
&lt;br /&gt;
You can use MATLAB, Mathematica or a similar programs, but you must show the steps that would be required to obtain your answers by hand (to make sure you understand the techniques).&lt;br /&gt;
&lt;br /&gt;
No collaboration is allowed on the ﬁnal exam.  You will also not be allowed to use computers, but the problems should be such that extensive computation is not required.&lt;br /&gt;
&lt;br /&gt;
[[Category:Courses]]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17340</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17340"/>
		<updated>2014-05-08T04:56:33Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/c/c9/CtrlSysMagHelpSOS.pdf helpSOS]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/index.php/File:MandNew.pptx Mandelbrot]&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Layering in Complex Networked Systems&lt;br /&gt;
| [https://www.cds.caltech.edu/~murray/wiki/images/a/a4/Chen-201405-CDS212.pdf slides]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| Positive Systems &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17339</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17339"/>
		<updated>2014-05-08T04:56:16Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/c/c9/CtrlSysMagHelpSOS.pdf helpSOS]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/index.php/File:MandNew.pptx Mandelbrot]&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Layering in Complex Networked Systems&lt;br /&gt;
| [https://www.cds.caltech.edu/~murray/wiki/images/a/a4/Chen-201405-CDS212.pdf slides]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
|  &lt;br /&gt;
| Positive Systems &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17338</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17338"/>
		<updated>2014-05-08T04:55:32Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/c/c9/CtrlSysMagHelpSOS.pdf helpSOS]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/index.php/File:MandNew.pptx Mandelbrot]&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Layering in Complex Networked Systems&lt;br /&gt;
| [https://www.cds.caltech.edu/~murray/wiki/images/a/a4/Chen-201405-CDS212.pdf slides]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17337</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17337"/>
		<updated>2014-05-08T04:55:10Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/c/c9/CtrlSysMagHelpSOS.pdf helpSOS]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/index.php/File:MandNew.pptx Mandelbrot]&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Layering in Complex Networked Systems&lt;br /&gt;
| [https://www.cds.caltech.edu/~murray/wiki/images/a/a4/Chen-201405-CDS212.pdf slides]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17336</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17336"/>
		<updated>2014-05-08T04:53:16Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Layering in Complex Networked Systems&lt;br /&gt;
| [https://www.cds.caltech.edu/~murray/wiki/images/a/a4/Chen-201405-CDS212.pdf slides]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/c/c9/CtrlSysMagHelpSOS.pdf helpSOS]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/index.php/File:MandNew.pptx Mandelbrot]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:Chen-201405-CDS212.pdf&amp;diff=17335</id>
		<title>File:Chen-201405-CDS212.pdf</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:Chen-201405-CDS212.pdf&amp;diff=17335"/>
		<updated>2014-05-08T04:52:35Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17334</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17334"/>
		<updated>2014-05-08T04:51:03Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Layering in Complex Networked Systems&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/c/c9/CtrlSysMagHelpSOS.pdf helpSOS]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/index.php/File:MandNew.pptx Mandelbrot]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Gupta_Visit&amp;diff=17323</id>
		<title>Gupta Visit</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Gupta_Visit&amp;diff=17323"/>
		<updated>2014-05-05T19:56:34Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: Created page with &amp;quot;Insert text here&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Insert text here&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17291</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17291"/>
		<updated>2014-04-22T18:15:04Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/c/c9/CtrlSysMagHelpSOS.pdf helpSOS]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/index.php/File:MandNew.pptx Mandelbrot]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:CtrlSysMagHelpSOS.pdf&amp;diff=17290</id>
		<title>File:CtrlSysMagHelpSOS.pdf</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:CtrlSysMagHelpSOS.pdf&amp;diff=17290"/>
		<updated>2014-04-22T18:13:53Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17289</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17289"/>
		<updated>2014-04-22T18:12:13Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/index.php/File:MandNew.pptx Mandelbrot]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:MandNew.pptx&amp;diff=17288</id>
		<title>File:MandNew.pptx</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:MandNew.pptx&amp;diff=17288"/>
		<updated>2014-04-22T18:11:30Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17287</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17287"/>
		<updated>2014-04-22T18:11:01Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/d/dc/DenniceLogisticsMandelbrot.pdf DGMandelbrot]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:DenniceLogisticsMandelbrot.pdf&amp;diff=17286</id>
		<title>File:DenniceLogisticsMandelbrot.pdf</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:DenniceLogisticsMandelbrot.pdf&amp;diff=17286"/>
		<updated>2014-04-22T18:10:27Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17285</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17285"/>
		<updated>2014-04-22T18:09:36Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17284</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17284"/>
		<updated>2014-04-22T18:09:10Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
| [https://www.cds.caltech.edu/~murray/wiki/images/f/f5/TutorialSOS.pdf SOStutorial]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:TutorialSOS.pdf&amp;diff=17283</id>
		<title>File:TutorialSOS.pdf</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:TutorialSOS.pdf&amp;diff=17283"/>
		<updated>2014-04-22T18:08:17Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17176</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17176"/>
		<updated>2014-04-09T18:44:23Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
* [http://ecee.colorado.edu/~ecen5448/Articles/GuaranteedRobustnessMargins_for_LQG_Doyle.pdf counterexample]&lt;br /&gt;
&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17174</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17174"/>
		<updated>2014-04-09T01:19:26Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 3 Apr &amp;lt;br&amp;gt; 5 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 4&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17173</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17173"/>
		<updated>2014-04-09T01:09:07Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfslides]&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17172</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17172"/>
		<updated>2014-04-09T01:08:22Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfslides]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:YouCandidacy.pdf Hinfreport]&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17171</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17171"/>
		<updated>2014-04-09T01:04:37Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:Report_siy.pdf Hinfreport]&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:Report_siy.pdf&amp;diff=17170</id>
		<title>File:Report siy.pdf</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:Report_siy.pdf&amp;diff=17170"/>
		<updated>2014-04-09T01:03:35Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:YouCandidacy.pdf&amp;diff=17169</id>
		<title>File:YouCandidacy.pdf</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:YouCandidacy.pdf&amp;diff=17169"/>
		<updated>2014-04-09T01:03:10Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17168</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17168"/>
		<updated>2014-04-09T01:02:40Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Hinf analysis&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17140</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17140"/>
		<updated>2014-04-03T16:23:38Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/images/7/72/Readme.txt readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:Readme.txt&amp;diff=17139</id>
		<title>File:Readme.txt</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:Readme.txt&amp;diff=17139"/>
		<updated>2014-04-03T16:23:01Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17138</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17138"/>
		<updated>2014-04-03T16:22:22Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
* [readme]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17137</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17137"/>
		<updated>2014-04-03T16:17:04Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
|&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17136</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17136"/>
		<updated>2014-04-03T16:16:39Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
*{{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
* [https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip ]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17135</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17135"/>
		<updated>2014-04-03T16:15:29Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| [ https://www.cds.caltech.edu/~murray/wiki/index.php/File:CDS212MatlabV1.zip  slidescode]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:CDS212MatlabV1.zip&amp;diff=17134</id>
		<title>File:CDS212MatlabV1.zip</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:CDS212MatlabV1.zip&amp;diff=17134"/>
		<updated>2014-04-03T16:14:04Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17133</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17133"/>
		<updated>2014-04-03T05:03:37Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 212: Robust Control&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17132</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17132"/>
		<updated>2014-04-03T05:00:40Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17131</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17131"/>
		<updated>2014-04-03T04:58:19Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
|&lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17130</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17130"/>
		<updated>2014-04-03T04:57:42Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17129</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17129"/>
		<updated>2014-04-03T04:57:07Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17128</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17128"/>
		<updated>2014-04-03T04:56:06Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17127</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17127"/>
		<updated>2014-04-03T04:55:41Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17126</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17126"/>
		<updated>2014-04-03T04:55:02Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17125</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17125"/>
		<updated>2014-04-03T04:54:43Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Talks&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17124</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17124"/>
		<updated>2014-04-03T04:54:17Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Talks&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17123</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17123"/>
		<updated>2014-04-03T04:53:37Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Talks&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
* Decentralized control&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17122</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17122"/>
		<updated>2014-04-03T04:52:55Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Talks&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 3, Fall 2010|HW 3]]--&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| &amp;lt;!-- [[CDS 212, Homework 5, Fall 2010|HW 5]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17121</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17121"/>
		<updated>2014-04-03T04:52:04Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Talks&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;!--[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| [[CDS 212, Homework 3, Fall 2010|HW 3]]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| [[CDS 212, Homework 5, Fall 2010|HW 5]]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17120</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17120"/>
		<updated>2014-04-03T04:51:36Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Talks&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;!--- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;! --[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| [[CDS 212, Homework 3, Fall 2010|HW 3]]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| [[CDS 212, Homework 5, Fall 2010|HW 5]]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17119</id>
		<title>Cds212 SP14</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Cds212_SP14&amp;diff=17119"/>
		<updated>2014-04-03T04:51:26Z</updated>

		<summary type="html">&lt;p&gt;Vjonsson: /* Tentative Lecture Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| width=100%&lt;br /&gt;
|-&lt;br /&gt;
| colspan=2 align=center |&lt;br /&gt;
&amp;lt;font color=&#039;blue&#039; size=&#039;+2&#039;&amp;gt;CDS 110b: Introduction to Control Theory&amp;lt;/font&amp;gt;__NOTOC__&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Instructors&#039;&#039;&#039;&lt;br /&gt;
* John Doyle, doyle@cds.caltech.edu&lt;br /&gt;
* Lectures: Tu/Th, 2:30-4 314 ANB&lt;br /&gt;
* Office hours: TBD (please e-mail to schedule)&lt;br /&gt;
| width=50% |&lt;br /&gt;
&#039;&#039;&#039;Teaching Assistants&#039;&#039;&#039;&lt;br /&gt;
* Vanessa Jonsson&lt;br /&gt;
* Contact: vjonsson@cds.caltech.edu&lt;br /&gt;
* Office hours: TH, 4-5 pm, Ann 213, and upon request&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Description ===&lt;br /&gt;
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.&lt;br /&gt;
&lt;br /&gt;
===Announcements ===&lt;br /&gt;
* 2 Apr 2014: web page creation&lt;br /&gt;
&lt;br /&gt;
=== Tentative Lecture Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| width=100% border=1 cellspacing=0 cellpadding=5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Date&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Topic&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Reading&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Homework&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Talks&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 1&lt;br /&gt;
| 1 Apr &amp;lt;br&amp;gt; 3 Apr&lt;br /&gt;
| Course overview, Norms for signals and systems&lt;br /&gt;
| {{DFT}}&amp;amp;nbsp;Ch&amp;amp;nbsp;1,&amp;amp;nbsp;2&amp;amp;nbsp; &amp;lt;br&amp;gt; DP Ch 3&lt;br /&gt;
| &amp;lt;! --- [[CDS 212, Homework 1, Fall 2010|HW 1]] ---&amp;gt;&lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 2&lt;br /&gt;
| 8 Apr &amp;lt;br&amp;gt;10 Apr&lt;br /&gt;
| Norms for signals and systems&lt;br /&gt;
| &amp;lt;!-- {{DFT}} Ch 3 &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;9.1-9.3) &amp;lt;br&amp;gt; ({{FBS}}&amp;amp;nbsp;11.1-11.2) --&amp;gt;&lt;br /&gt;
| &amp;lt;! --[[CDS 212, Homework 2, Fall 2010|HW 2]] --&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 3&lt;br /&gt;
|15 Apr &amp;lt;br&amp;gt; 17 Apr&lt;br /&gt;
| Hinf synthesis&lt;br /&gt;
| DP Ch 7 &lt;br /&gt;
| [[CDS 212, Homework 3, Fall 2010|HW 3]]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top &lt;br /&gt;
| 4&lt;br /&gt;
| 22 Apr &amp;lt;br&amp;gt; 24 Apr&lt;br /&gt;
| Uncertain systems, structured singular values&lt;br /&gt;
| DP Ch 8 &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 5&lt;br /&gt;
| 29 Apr &amp;lt;br&amp;gt; 1 May&lt;br /&gt;
|  Feedback control of uncertain systems &lt;br /&gt;
| DP Ch 9&lt;br /&gt;
| [[CDS 212, Homework 5, Fall 2010|HW 5]]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 6&lt;br /&gt;
| 6 May &amp;lt;br&amp;gt; 8 May&lt;br /&gt;
| Positive systems &lt;br /&gt;
* Stability and synthesis&lt;br /&gt;
* Biological, flow control examples&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|- valign=top&lt;br /&gt;
| 7&lt;br /&gt;
| 13 May  &amp;lt;br&amp;gt; 15 May&lt;br /&gt;
| &lt;br /&gt;
* Stability of nonlinear systems&lt;br /&gt;
* Sum-of-squares&lt;br /&gt;
* Control Lyapunov functions&lt;br /&gt;
| [http://sysos.eng.ox.ac.uk/sostools/sostools.pdf SOStools]&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
| 8&lt;br /&gt;
| 20 May &amp;lt;br&amp;gt; 22 May&lt;br /&gt;
|&lt;br /&gt;
* Regularization for control &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Course Text and References ===&lt;br /&gt;
&lt;br /&gt;
The main course text is&lt;br /&gt;
* J. Doyle, B. Francis, A. Tannenbaum, [http://www.control.utoronto.ca/people/profs/francis/dft.html &#039;&#039;Feedback Control Theory&#039;&#039;], Macmillan, 1992.&lt;br /&gt;
* G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.&lt;br /&gt;
* R. M. Murray, {{obc08|Optimization-Based Control}}, Preprint, 2008.&lt;br /&gt;
&lt;br /&gt;
You may find the following texts useful as well:&lt;br /&gt;
* K. J. {{Astrom}} and R. M. Murray, &#039;&#039;[[AM:Main Page|Feedback Systems]]&#039;&#039;, Princeton University Press, 2008.&lt;br /&gt;
* B. Friedland, &#039;&#039;Control System Design: An Introduction to State-Space Methods&#039;&#039;, Dover, 2004.&lt;br /&gt;
* F. L. Lewis and V. L. Syrmos, &#039;&#039;Optimal Control&#039;&#039;, Second Edition, Wiley-IEEE, 1995.  ([http://books.google.com/books?ie=UTF-8&amp;amp;hl=en&amp;amp;vid=ISBN0471033782&amp;amp;id=jkD37elP6NIC Google Books])&lt;br /&gt;
* A. D. Lewis, &#039;&#039;[http://penelope.mast.queensu.ca/math332/notes.shtml A Mathematical Approach to Classical Control]&#039;&#039;, 2003.&lt;br /&gt;
&lt;br /&gt;
=== Selected Papers ===&lt;br /&gt;
&lt;br /&gt;
1.	M Chiang, SH Low, AR Calderbank, JC. Doyle (2007) Layering As Optimization Decomposition, PROCEEDINGS OF THE IEEE, Volume: 95  Issue: 1  Jan 2007 [https://www.cds.caltech.edu/~murray/wiki/images/6/6d/01IEEEProcNetsLayeringAsOptDecomp.pdf link]&lt;br /&gt;
&lt;br /&gt;
2.	Martins NC, Dahleh MA, Doyle JC (2007) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information,  IEEE Trans Auto Control, Feb 2007 [https://www.cds.caltech.edu/~murray/wiki/images/d/df/02-2007-FundamentalLimits.pdf link]&lt;br /&gt;
&lt;br /&gt;
3.	Bowman, Balch, Artaxo, Bond, Carlson, Cochrane, D’Antonio, DeFries, Doyle, et al. Fire in the Earth System, Science, Vol. 324 no. 5926 pp. 481-484 24 April 2009 [https://www.cds.caltech.edu/~murray/wiki/images/b/b9/03ScienceFire.pdf link]&lt;br /&gt;
&lt;br /&gt;
4.	Willinger W, Alderson D, and Doyle JC (2009) Mathematics and the internet: A source of enormous confusion and great potential. Notices Amer Math Soc 56:586-599. [https://www.cds.caltech.edu/~murray/wiki/images/b/b3/04AMSNoticesInternet.pdf link]&lt;br /&gt;
&lt;br /&gt;
5.	Alderson DL, Doyle JC (2010) Contrasting views of complexity and their implications for network-centric infrastructures. IEEE Trans Systems Man Cybernetics—Part A: Syst Humans 40:839-852.  [https://www.cds.caltech.edu/~murray/wiki/images/3/31/05AldersonDoyle-tsmca-July2010.pdf link]&lt;br /&gt;
&lt;br /&gt;
6.	Gayme DF, McKeon BJ, Papachristodoulou P, Bamieh B, Doyle JC (2010) A streamwise constant model of turbulence in plane Couette flow, J Fluid Mech, vol 665, pp 99-119 [https://www.cds.caltech.edu/~murray/wiki/images/3/37/06GaymeJFM2010.pdf link] &lt;br /&gt;
&lt;br /&gt;
7.	H. Sandberg, J. C. Delvenne, J. C. Doyle. (2011) On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements, IEEE Trans Auto Control, Feb 2011 &lt;br /&gt;
&lt;br /&gt;
8.	J Lavaei, A Babakhani, A Hajimiri, and JC Doyle (2011), Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011. [https://www.cds.caltech.edu/~murray/wiki/images/0/04/08LavaeiCircuits.pdf link]&lt;br /&gt;
&lt;br /&gt;
9.	Chandra F, Buzi G, Doyle JC (2011) Glycolytic oscillations and limits on robust efficiency. Science, Vol 333, pp 187-192. [https://www.cds.caltech.edu/~murray/wiki/images/6/68/09ScienceGlycolyticOscOnlineFinal.pdf link]&lt;br /&gt;
&lt;br /&gt;
10.	JC Doyle, ME Csete (2011) Architecture, Constraints, and Behavior, P Natl Acad Sci USA, vol. 108, Sup 3 15624-15630 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/10PNASOnlineFinalSackler2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
11.	Gayme DF, McKeon BJ, Bamieh B, Papachristodoulou P, Doyle JC (2011) Amplification and Nonlinear Mechanisms in Plane Couette Flow, Physics of Fluids, V23, Issue 6, 065108 [https://www.cds.caltech.edu/~murray/wiki/images/4/47/11PhysOfFluidsForcedSolutions2011.pdf link]&lt;br /&gt;
&lt;br /&gt;
12.	Page, M. T., D. Alderson, and J. Doyle (2011), The magnitude distribution of earthquakes near Southern California faults, J. Geophys. Res., 116, B12309, doi:10.1029/2010JB007933.&lt;br /&gt;
&lt;br /&gt;
13.	Namas R, Zamora R, An, G, Doyle, J et al, (2012) Sepsis: Something old, something new, and a systems view, Journal Of Critical Care  Volume: 27   Issue: 3  [https://www.cds.caltech.edu/~murray/wiki/images/a/a6/13SepsisJCritCareNihms300207.pdf link]&lt;br /&gt;
&lt;br /&gt;
14.	Chen, L; Ho, T; Chiang, M, Low S; Doyle J,(2012) Congestion Control for Multicast Flows With Network Coding, IEEE Trans On Information Theory  Volume: 58   Issue: 9   Pages: 5908-5921   &lt;br /&gt;
[https://www.cds.caltech.edu/~murray/wiki/images/5/55/14ChenEtAlMulticastIEEETIT2012.pdf  link ]&lt;/div&gt;</summary>
		<author><name>Vjonsson</name></author>
	</entry>
</feed>