Cds110b WI14
From Murray Wiki
Jump to navigationJump to search
CDS 110b: Introduction to Control Theory  
Instructors

Teaching Assistants

Course Description
Announcements
 8 Jan 2014: web page creation, uploaded lecture 1 material
Lecture Schedule
Date  Topic  Reading  Homework 
7 Jan 9 Jan 
Robustness, fragility, complexity and control I

Perko, 1.11.6 

14 Jan 16 Jan 
Linear Differential Equations II

Perko, 1.71.10  HW 2 Due: 22 Jan (Wed) 
21 Jan 23 Jan 
Nonlinear differential equations

Perko, 2.12.6  HW 3 Due: 29 Jan (Wed) 
28 Jan 30 Jan 
Behavior of differential equations

Perko, 2.72.10  HW 4 Due: 5 Feb (Wed) 
4 Feb 6 Feb 
Nonhyperbolic differential equations

Perko, 2.112.13  HW 5 Due: 12 Feb (Wed) 
11 Feb 13 Feb 
Hamiltonian systems

Perko 2.14 + notes  HW 6 Due: 19 Feb (Wed) 
18 Feb* 20 Feb* 25 Feb 
Limit cycles

Perko, 3.13.5, 3.7, 3.9  HW 7 Due: 5 Mar (Wed) 
27 Feb 4 Mar 6 Mar 
Bifurcations

Perko 4.14.4 + notes  HW 8 Due: 12 Mar (Wed) 
11 Mar* 
Course review  Final exam Due: 19 Mar (Wed) 
Course Text and References
The main course text is
 J. Doyle, B. Francis, A. Tannenbaum, Feedback Control Theory, Macmillan, 1992.
 R. M. Murray, OptimizationBased Control, Preprint, 2008.
You may find the following texts useful as well:
 K. J. Åström and R. M. Murray, Feedback Systems, Princeton University Press, 2008.
 B. Friedland, Control System Design: An Introduction to StateSpace Methods, Dover, 2004.
 F. L. Lewis and V. L. Syrmos, Optimal Control, Second Edition, WileyIEEE, 1995. (Google Books)
 A. D. Lewis, A Mathematical Approach to Classical Control, 2003.