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	<id>https://murray.cds.caltech.edu/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Lnilsson</id>
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	<updated>2026-04-15T05:29:17Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=SURF_discussions,_Jan_2019&amp;diff=22556</id>
		<title>SURF discussions, Jan 2019</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=SURF_discussions,_Jan_2019&amp;diff=22556"/>
		<updated>2019-01-27T23:44:37Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: /* 1 Feb (Fri) */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Slots for talking with applicants and co-mentors about SURF projects.  Please sign up for one of the slots below.  All times are PST. __NOTOC__&lt;br /&gt;
&lt;br /&gt;
In preparation for our conversation, please do the following:&lt;br /&gt;
* SURF students should work with their co-mentors to find a time the meeting/Skype call.  (For Skype calls, co-mentors should initiate.)&lt;br /&gt;
* Please make sure you have read the material in the description of your project, so that you are prepared to talk about what the project is about and we can narrow in on the key ideas that will be the basis of your proposal&lt;br /&gt;
* Please take a look at the [[SURF GOTChA chart]] page, which is the format that we will use for the first iteration of your project proposal.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| border=1 width=100%&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=25% |&lt;br /&gt;
==== 28 Jan (Mon) ====&lt;br /&gt;
* 5:00 pm PST: Victoria / Andy &lt;br /&gt;
* 5:30 pm PST: open&lt;br /&gt;
| width=25% |&lt;br /&gt;
&lt;br /&gt;
==== 29 Jan (Tue) ====&lt;br /&gt;
* 12:00 pm PST: Ann / Cindy&lt;br /&gt;
| width=25% |&lt;br /&gt;
&lt;br /&gt;
==== 31 Jan (Thu) ====&lt;br /&gt;
* 12:00 pm PST: Isabelle / John&lt;br /&gt;
| width=25% |&lt;br /&gt;
&lt;br /&gt;
==== 1 Feb (Fri) ====&lt;br /&gt;
* 11:15 am PST: Ludvig / Petter&lt;br /&gt;
&amp;lt;hr&amp;gt;&lt;br /&gt;
* 3:30 pm PST: open&lt;br /&gt;
* 4:00 pm PST: open&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The agenda for the phone call is (roughly):&lt;br /&gt;
&lt;br /&gt;
# Description of the basic idea behind the project (based on applicant&#039;s understanding)&lt;br /&gt;
# Discussion about approaches, things to read, variations to consider, etc&lt;br /&gt;
# Discussion of the format of the proposal&lt;br /&gt;
# Questions and discussion about the process&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=SURF_discussions,_Jan_2019&amp;diff=22512</id>
		<title>SURF discussions, Jan 2019</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=SURF_discussions,_Jan_2019&amp;diff=22512"/>
		<updated>2019-01-25T17:20:39Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: /* 1 Feb (Fri) */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Slots for talking with applicants and co-mentors about SURF projects.  Please sign up for one of the slots below.  All times are PST. __NOTOC__&lt;br /&gt;
&lt;br /&gt;
In preparation for our conversation, please do the following:&lt;br /&gt;
* SURF students should work with their co-mentors to find a time the meeting/Skype call.  (For Skype calls, co-mentors should initiate.)&lt;br /&gt;
* Please make sure you have read the material in the description of your project, so that you are prepared to talk about what the project is about and we can narrow in on the key ideas that will be the basis of your proposal&lt;br /&gt;
* Please take a look at the [[SURF GOTChA chart]] page, which is the format that we will use for the first iteration of your project proposal.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| border=1 width=100%&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=25% |&lt;br /&gt;
==== 28 Jan (Mon) ====&lt;br /&gt;
* 5:00 pm PST: open&lt;br /&gt;
* 5:30 pm PST: open&lt;br /&gt;
| width=25% |&lt;br /&gt;
==== 29 Jan (Tue) ====&lt;br /&gt;
* 12:00 pm PST: open&lt;br /&gt;
| width=25% |&lt;br /&gt;
&lt;br /&gt;
==== 31 Jan (Thu) ====&lt;br /&gt;
* 12:00 pm PST: open&lt;br /&gt;
| width=25% |&lt;br /&gt;
==== 1 Feb (Fri) ====&lt;br /&gt;
* 11:00 am PST: Ludvig&lt;br /&gt;
&amp;lt;hr&amp;gt;&lt;br /&gt;
* 3:30 pm PST: open&lt;br /&gt;
* 4:00 pm PST: open&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The agenda for the phone call is (roughly):&lt;br /&gt;
&lt;br /&gt;
# Description of the basic idea behind the project (based on applicant&#039;s understanding)&lt;br /&gt;
# Discussion about approaches, things to read, variations to consider, etc&lt;br /&gt;
# Discussion of the format of the proposal&lt;br /&gt;
# Questions and discussion about the process&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Paul_Van_den_Hof,_Dec_2018&amp;diff=22289</id>
		<title>Paul Van den Hof, Dec 2018</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Paul_Van_den_Hof,_Dec_2018&amp;diff=22289"/>
		<updated>2018-12-07T06:47:11Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: /* Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Paul van den Hof is Full Professor and Chair of the Control Systems (CS) Group at the Department of Electrical Engineering. He is interested in data-driven modeling, control and optimization of dynamic systems in several technological fields: industrial process control, oil reservoir engineering, high-tech mechatronic and cyber-physical systems, etc. His focus is the development of fundamental techniques, such as data-driven modeling, closed-loop and control-oriented identification and data analytics, experimental design and performance monitoring, and model-based control, monitoring and optimization.&lt;br /&gt;
&lt;br /&gt;
=== Schedule ===&lt;br /&gt;
&lt;br /&gt;
* 10 am: Richard Murray, 107 Steele Lab&lt;br /&gt;
* 10:30 am: Petter Nilsson, 110 Steele&lt;br /&gt;
* 11:00 am: Yuxiao Chen, Thomas Gurriet&lt;br /&gt;
* 11:45 am: Lunch with Aaron Ames, Petter Nilsson, Thomas Gurriet, Yuxiao Chen, meet in 266 Gates-Thomas&lt;br /&gt;
* 1:00 pm: Seminar, 106 Annenberg&lt;br /&gt;
* 2:00 pm: Soon-Jo Chung, 106 Annenberg&lt;br /&gt;
* 2:45 pm: Michaelle Mayalu, 2nd Floor lounge, Annenberg&lt;br /&gt;
* 3:30 pm: Richard Murray, 107 Steele Lab&lt;br /&gt;
* 4:00 pm: Chelsea and Ayush, 2nd floor lounge, Annenberg&lt;br /&gt;
* 4:45 pm: Open (if nothing else available)&lt;br /&gt;
* 5:30 pm: Depart&lt;br /&gt;
&lt;br /&gt;
=== Seminar ===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Data-driven modeling in linear dynamic networks&#039;&#039;&#039; &amp;lt;br&amp;gt;&lt;br /&gt;
Friday, December 7th at 1pm, 106 Annenberg&lt;br /&gt;
 &lt;br /&gt;
In many areas of science and technology, the complexity of dynamic systems that are being considered, grows beyond the level of single systems into interconnected networks of dynamic systems. In control and optimization this has led to the development of decentralized and distributed algorithms for control/optimization, as e.g. in multi-agent systems. &lt;br /&gt;
From the modelling perspective, data-driven modelling tools are typically developed for relatively simple open-loop and closed-loop structures, while the opportunities for big data handling in the current data science era, are becoming abundant. As a result there is a strong need for the development of data-driven modelling tools for large-scale interconnected dynamic networks.&lt;br /&gt;
In this seminar we will highlight the main developments and challenges in this area. Besides setting up a modelling framework, we will address problems of local identification of a particular part of the network, including the selection of the appropriate signals to be measured. The concept of network identifiability is highlighted and the role of structural properties of the network, in terms of its topology/graph, is given strong attention. It is also shown how classical closed-loop identification methods need to be generalized to be able to cope with the new situations.&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Paul_Van_den_Hof,_Dec_2018&amp;diff=22283</id>
		<title>Paul Van den Hof, Dec 2018</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Paul_Van_den_Hof,_Dec_2018&amp;diff=22283"/>
		<updated>2018-12-06T18:04:46Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: /* Schedule */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Paul van den Hof is Full Professor and Chair of the Control Systems (CS) Group at the Department of Electrical Engineering. He is interested in data-driven modeling, control and optimization of dynamic systems in several technological fields: industrial process control, oil reservoir engineering, high-tech mechatronic and cyber-physical systems, etc. His focus is the development of fundamental techniques, such as data-driven modeling, closed-loop and control-oriented identification and data analytics, experimental design and performance monitoring, and model-based control, monitoring and optimization.&lt;br /&gt;
&lt;br /&gt;
=== Schedule ===&lt;br /&gt;
&lt;br /&gt;
* 10 am: Richard Murray, 107 Steele Lab&lt;br /&gt;
* 10:30 am: Petter Nilsson&lt;br /&gt;
* 11:00 am: open&lt;br /&gt;
* 11:45 am: Lunch Aaron Ames&lt;br /&gt;
* 1:00 pm: Seminar, 106 Annenberg&lt;br /&gt;
* 2:00 pm: Soon-Jo Chung, 106 Annenberg&lt;br /&gt;
* 2:45 pm: Open&lt;br /&gt;
* 3:30 pm: Richard Murray, 107 Steele Lab&lt;br /&gt;
* 4:00 pm: Chelsea and Ayush, 2nd floor lounge, Annenberg&lt;br /&gt;
* 4:45 pm: Open (if nothing else available)&lt;br /&gt;
* 5:30 pm: Depart&lt;br /&gt;
&lt;br /&gt;
=== Seminar ===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Data-driven modeling in linear dynamic networks&#039;&#039;&#039; &amp;lt;br&amp;gt;&lt;br /&gt;
Friday, December 7th at 1pm, 106 Annenberg&lt;br /&gt;
 &lt;br /&gt;
In many areas of science and technology, the complexity of dynamic systems that are being considered, grows beyond the level of single systems into interconnected networks of dynamic systems. In control and optimization this has led to the development of decentralized and distributed algorithms for control/optimization, as e.g. in multi-agent systems. &lt;br /&gt;
From the modelling perspective, data-driven modelling tools are typically developed for relatively simple open-loop and closed-loop structures, while the opportunities for big data handling in the current data science era, are becoming abundant. As a result there is a strong need for the development of data-driven modelling tools for large-scale interconnected dynamic networks.&lt;br /&gt;
In this seminar we will highlight the main developments and challenges in this area. Besides setting up a modelling framework, we will address problems of local identification of a particular part of the network, including the selection of the appropriate signals to be measured. The concept of network identifiability is highlighted and the role of structural properties of the network, in terms of its topology/graph, is given strong attention. It is also shown how classical closed-loop identification methods need to be generalized to be able to cope with the new situations.&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=SURF_2019:_Geometry_of_Control-Invariant_Sets&amp;diff=22252</id>
		<title>SURF 2019: Geometry of Control-Invariant Sets</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=SURF_2019:_Geometry_of_Control-Invariant_Sets&amp;diff=22252"/>
		<updated>2018-11-28T00:21:54Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The concept of a &#039;&#039;control-invariant&#039;&#039; set---a set &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; with the property that a controller can make the state &amp;lt;math&amp;gt;x(t)&amp;lt;/math&amp;gt; of a system remain inside of &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; for all positive &amp;lt;math&amp;gt;t&amp;lt;/math&amp;gt; ---is closely connected with safety and reliability of engineered systems [1]. Invariant sets can be used to construct controllers that make systems such as quadrotors avoid crashes [2]. Unfortunately, analytical expressions for control-invariant sets are not known for many important systems, and are also hard to compute numerically in high dimensions. &lt;br /&gt;
&lt;br /&gt;
[[File:Double_int.png|350px]] [[File:Triple_int.png|350px]]&lt;br /&gt;
&lt;br /&gt;
Some of the most fundamental dynamical systems are linear &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-order integrators:&lt;br /&gt;
&lt;br /&gt;
[[File:N_integrator.png|200px]]&lt;br /&gt;
&lt;br /&gt;
For &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; = 2 a closed-form expression of the maximal control-invariant set contained inside the unit hypercube is known [3. eq. (53)], but for higher orders of &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; only numerical approaches are currently available. The figures above show numerical approximations for &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; equal to 2 and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; equal to 3. The objective of this project is to investigate geometrical properties of control-invariant sets via a combination of analytical and numerical techniques. In particular,&lt;br /&gt;
&lt;br /&gt;
* Search for closed-form expressions or cheap-to-evaluate algorithms that characterize control-invariant sets for n &amp;gt; 2.&lt;br /&gt;
* Investigate incremental algorithms, i.e., if the set for n is known, can we characterize the set for n+1?&lt;br /&gt;
* Stretch goal: generalize the incremental ideas to differential extensions of general systems such as the quadrotor dynamics on SE(3).&lt;br /&gt;
&lt;br /&gt;
Familiarity with the following topics is desirable:&lt;br /&gt;
&lt;br /&gt;
* Advanced knowledge of linear ordinary differential equations.&lt;br /&gt;
* Optimization.&lt;br /&gt;
* Programming in Matlab and/or Python (the figures above were created with code from https://github.com/pettni/pcis).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;References&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[1] Blanchini, F. (1999). Set invariance in control. Automatica, 35(11), 1747–1767. https://doi.org/10.1016/S0005-1098(99)00113-2&lt;br /&gt;
&lt;br /&gt;
[2] https://www.youtube.com/watch?v=rK9oyqccMJw&lt;br /&gt;
&lt;br /&gt;
[3] Ames, A. D., Xu, X., Grizzle, J. W., &amp;amp; Tabuada, P. (2017). Control Barrier Function Based Quadratic Programs for Safety Critical Systems. IEEE Transactions on Automatic Control, 62(8), 3861–3876. https://doi.org/10.1109/TAC.2016.2638961&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=SURF_2019:_Geometry_of_Control-Invariant_Sets&amp;diff=22251</id>
		<title>SURF 2019: Geometry of Control-Invariant Sets</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=SURF_2019:_Geometry_of_Control-Invariant_Sets&amp;diff=22251"/>
		<updated>2018-11-28T00:21:21Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The concept of a &#039;&#039;control-invariant&#039;&#039; set---a set &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; with the property that a controller can make the state &amp;lt;math&amp;gt;x(t)&amp;lt;/math&amp;gt; of a system remain inside of &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; for all positive &amp;lt;math&amp;gt;t&amp;lt;/math&amp;gt; ---is closely connected with safety and reliability of engineered systems [1]. Invariant sets can be used to construct controllers that make systems such as quadrotors avoid crashes [2]. Unfortunately, analytical expressions for control-invariant sets are not known for many important systems, and are also hard to compute numerically in high dimensions. &lt;br /&gt;
&lt;br /&gt;
[[File:Double_int.png|350px]] [[File:Triple_int.png|350px]]&lt;br /&gt;
&lt;br /&gt;
Some of the most fundamental dynamical systems are linear &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-order integrators:&lt;br /&gt;
&lt;br /&gt;
[[File:N_integrator.png|200px]]&lt;br /&gt;
&lt;br /&gt;
For &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; = 2 a closed-form expression of the maximal control-invariant set contained inside the unit hypercube is known [3. eq. (53)], but for higher orders of &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; only numerical approaches are available. The figures above show numerical approximations for &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; equal to 2 and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; equal to 3. The objective of this project is to investigate geometrical properties of control-invariant sets via a combination of analytical and numerical techniques. In particular,&lt;br /&gt;
&lt;br /&gt;
* Search for closed-form expressions or cheap-to-evaluate algorithms that characterize control-invariant sets for n &amp;gt; 2.&lt;br /&gt;
* Investigate incremental algorithms, i.e., if the set for n is known, can we characterize the set for n+1?&lt;br /&gt;
* Stretch goal: generalize the incremental ideas to differential extensions of general systems such as the quadrotor dynamics on SE(3).&lt;br /&gt;
&lt;br /&gt;
Familiarity with the following topics is desirable:&lt;br /&gt;
&lt;br /&gt;
* Advanced knowledge of linear ordinary differential equations.&lt;br /&gt;
* Optimization.&lt;br /&gt;
* Programming in Matlab and/or Python (the figures above were created with code from https://github.com/pettni/pcis).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;References&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[1] Blanchini, F. (1999). Set invariance in control. Automatica, 35(11), 1747–1767. https://doi.org/10.1016/S0005-1098(99)00113-2&lt;br /&gt;
&lt;br /&gt;
[2] https://www.youtube.com/watch?v=rK9oyqccMJw&lt;br /&gt;
&lt;br /&gt;
[3] Ames, A. D., Xu, X., Grizzle, J. W., &amp;amp; Tabuada, P. (2017). Control Barrier Function Based Quadratic Programs for Safety Critical Systems. IEEE Transactions on Automatic Control, 62(8), 3861–3876. https://doi.org/10.1109/TAC.2016.2638961&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:N_integrator.png&amp;diff=22250</id>
		<title>File:N integrator.png</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:N_integrator.png&amp;diff=22250"/>
		<updated>2018-11-28T00:19:45Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=SURF_2019:_Geometry_of_Control-Invariant_Sets&amp;diff=22249</id>
		<title>SURF 2019: Geometry of Control-Invariant Sets</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=SURF_2019:_Geometry_of_Control-Invariant_Sets&amp;diff=22249"/>
		<updated>2018-11-28T00:18:14Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The concept of a &#039;&#039;control-invariant&#039;&#039; set---a set &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; with the property that a controller can make the state &amp;lt;math&amp;gt;x(t)&amp;lt;/math&amp;gt; of a system remain inside of &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; for all positive &amp;lt;math&amp;gt;t&amp;lt;/math&amp;gt; ---is closely connected with safety and reliability of engineered systems [1]. Invariant sets can be used to construct controllers that make systems such as quadrotors avoid crashes [2]. Unfortunately, analytical expressions for control-invariant sets are not known for many important systems, and are also hard to compute numerically in high dimensions. &lt;br /&gt;
&lt;br /&gt;
[[File:Double_int.png]] [[File:Triple_int.png]]&lt;br /&gt;
&lt;br /&gt;
Some of the most fundamental dynamical systems are linear &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-order integrators. For &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; = 2 a closed-form expression of the maximal control-invariant set contained inside the unit hypercube is known [3. eq. (53)], but for higher orders of &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; only numerical approaches are available. The figures above show numerical approximations for &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; equal to 2 and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; equal to 3. The objective of this project is to investigate geometrical properties of control-invariant sets via a combination of analytical and numerical techniques. In particular,&lt;br /&gt;
&lt;br /&gt;
* Search for closed-form expressions or cheap-to-evaluate algorithms that characterize control-invariant sets for n &amp;gt; 2.&lt;br /&gt;
* Investigate incremental algorithms, i.e., if the set for n is known, can we characterize the set for n+1?&lt;br /&gt;
* Stretch goal: generalize the incremental ideas to differential extensions of general systems such as the quadrotor dynamics on SE(3).&lt;br /&gt;
&lt;br /&gt;
Familiarity with the following topics is desirable:&lt;br /&gt;
&lt;br /&gt;
* Advanced knowledge of linear ordinary differential equations.&lt;br /&gt;
* Optimization.&lt;br /&gt;
* Programming in Matlab and/or Python (the figures above were created with code from https://github.com/pettni/pcis).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;References&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[1] Blanchini, F. (1999). Set invariance in control. Automatica, 35(11), 1747–1767. https://doi.org/10.1016/S0005-1098(99)00113-2&lt;br /&gt;
&lt;br /&gt;
[2] https://www.youtube.com/watch?v=rK9oyqccMJw&lt;br /&gt;
&lt;br /&gt;
[3] Ames, A. D., Xu, X., Grizzle, J. W., &amp;amp; Tabuada, P. (2017). Control Barrier Function Based Quadratic Programs for Safety Critical Systems. IEEE Transactions on Automatic Control, 62(8), 3861–3876. https://doi.org/10.1109/TAC.2016.2638961&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:Double_int.png&amp;diff=22248</id>
		<title>File:Double int.png</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:Double_int.png&amp;diff=22248"/>
		<updated>2018-11-28T00:09:10Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=File:Triple_int.png&amp;diff=22247</id>
		<title>File:Triple int.png</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=File:Triple_int.png&amp;diff=22247"/>
		<updated>2018-11-28T00:08:58Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=SURF_2019:_Geometry_of_Control-Invariant_Sets&amp;diff=22246</id>
		<title>SURF 2019: Geometry of Control-Invariant Sets</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=SURF_2019:_Geometry_of_Control-Invariant_Sets&amp;diff=22246"/>
		<updated>2018-11-28T00:05:42Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: Created page with &amp;quot;The concept of a &amp;#039;&amp;#039;control-invariant&amp;#039;&amp;#039; set---a set &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; with the property that a controller can make the state &amp;lt;math&amp;gt;x(t)&amp;lt;/math&amp;gt; of a system remain inside of &amp;lt;math&amp;gt;X...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The concept of a &#039;&#039;control-invariant&#039;&#039; set---a set &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; with the property that a controller can make the state &amp;lt;math&amp;gt;x(t)&amp;lt;/math&amp;gt; of a system remain inside of &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; for all positive &amp;lt;math&amp;gt;t&amp;lt;/math&amp;gt; ---is closely connected with safety and reliability of engineered systems [1]. Unfortunately, analytical expressions for control-invariant sets are not known for many important systems, and are also hard to compute numerically in high dimensions. &lt;br /&gt;
&lt;br /&gt;
[[File:Example.jpg]]&lt;br /&gt;
&lt;br /&gt;
Some of the most fundamental dynamical systems are linear &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-order integrators. For &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; = 2 a closed-form expression of the maximal control-invariant set contained inside the unite hypercube is known [2. eq. (53)], but for higher orders of &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; only numerical approaches are available. The Figure above shows numerical approximations for &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; equal to 2 and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; equal to 3. The objective of this project is to investigate geometrical properties of these sets via a combination of analytical and numerical techniques. In particular,&lt;br /&gt;
&lt;br /&gt;
* Search for closed-form expressions or cheap-to-evaluate algorithms that characterize control-invariant sets of for n larger than 3.&lt;br /&gt;
* Investigate incremental algorithms, i.e., if the set for $n$ is known, can we characterize the set for $n+1$?&lt;br /&gt;
* Stretch goal: generalize the incremental ideas to differential extensions of general systems such as the quadrotor dynamics on $SE(3)$.&lt;br /&gt;
&lt;br /&gt;
Familiarity with the following topics is desirable:&lt;br /&gt;
&lt;br /&gt;
* Advanced knowledge of linear ordinary differential equations.&lt;br /&gt;
* Optimization.&lt;br /&gt;
* Programming in Matlab and/or Python (the figures above were created with code from https://github.com/pettni/pcis).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;References&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[1] Blanchini, F. (1999). Set invariance in control. Automatica, 35(11), 1747–1767. https://doi.org/10.1016/S0005-1098(99)00113-2&lt;br /&gt;
&lt;br /&gt;
[2] Ames, A. D., Xu, X., Grizzle, J. W., &amp;amp; Tabuada, P. (2017). Control Barrier Function Based Quadratic Programs for Safety Critical Systems. IEEE Transactions on Automatic Control, 62(8), 3861–3876. https://doi.org/10.1109/TAC.2016.2638961&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Group_Schedule,_Summer_2011&amp;diff=12779</id>
		<title>Group Schedule, Summer 2011</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Group_Schedule,_Summer_2011&amp;diff=12779"/>
		<updated>2011-07-05T21:30:46Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: /* 18-22 Jul */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
This page contains information about various upcoming events that are of interest to the group.&lt;br /&gt;
{| width=60%&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
* [http://www.cds.caltech.edu/~murray/calendar.html Richard&#039;s calendar (travel)]&lt;br /&gt;
| width=50% |&lt;br /&gt;
* [[Group Schedule, Spring 2011]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Summer Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| border=1 width=100%&lt;br /&gt;
|- valign=top&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Mini-group meetings&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Group meeting&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Other&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
===== 13-17 Jun =====&lt;br /&gt;
|&lt;br /&gt;
None&lt;br /&gt;
| &lt;br /&gt;
None&lt;br /&gt;
| &lt;br /&gt;
RMM out all week&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
===== 20-24 Jun =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Mon @ 9:30&lt;br /&gt;
* SURF meetings, cycle 0: (sign on at [[SURF 2011]] page)&lt;br /&gt;
* NCS: Tue, 1-2:30 pm&lt;br /&gt;
** Speaker 1: Necmiye (discussion)&lt;br /&gt;
** Speaker 2: Linlin&lt;br /&gt;
|&lt;br /&gt;
Tue @ 12: Necmiye&lt;br /&gt;
|&lt;br /&gt;
RMM out 22-24 Jun&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 27 Jun - 1 Jul =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Mon, &amp;lt;font color=blue&amp;gt;9:30a-10:30a&amp;lt;/font&amp;gt;&lt;br /&gt;
* Robotics: Mon, 1-3 pm&lt;br /&gt;
** Speaker 1: Sandeep&lt;br /&gt;
** Speaker 2: Sawyer&lt;br /&gt;
* Biocircuits: Tue, 9a-2p&lt;br /&gt;
** Overview presentations (all; 10 min each)&lt;br /&gt;
** Lunch will be provided&lt;br /&gt;
* SURF meetings, cycle 1: Tue pm&lt;br /&gt;
** 4:00 pm: Yuchen and Ufuk&lt;br /&gt;
** 4:30 pm: Klavdia and Sawyer&lt;br /&gt;
** 5:00 pm: Ishan and Jongmin&lt;br /&gt;
** 5:30 pm: Sandeep and Scott&lt;br /&gt;
** 6:00 pm: Arjun and Emzo&lt;br /&gt;
| &lt;br /&gt;
Mon @ 12: Nils Napp&lt;br /&gt;
|&lt;br /&gt;
* Nils Napp visiting&lt;br /&gt;
* Sean Meyn visiting&lt;br /&gt;
* RMM out 29 Jun-1 Jul (ACC)&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 4-8 Jul =====&lt;br /&gt;
|&lt;br /&gt;
* Biocircuits: Tue, 10-12&lt;br /&gt;
** Speaker 1: Marcella&lt;br /&gt;
** Speaker 2: Joe&lt;br /&gt;
** Speaker 3: Vanessa&lt;br /&gt;
* iGEM: Tue, &amp;lt;font color=blue&amp;gt;5:30-6:30p&amp;lt;/font&amp;gt;&lt;br /&gt;
* NCS: Thu, 1-3 pm&lt;br /&gt;
** Speaker 3: Scott Livingston&lt;br /&gt;
** Speaker 4: Jun Liu&lt;br /&gt;
* SURF meetings, cycle 1: Thu pm&lt;br /&gt;
** 3:00 pm: Magnus and Andrea&lt;br /&gt;
** 3:30 pm: Paul and Joe&lt;br /&gt;
** 4:00 pm: Petter and Necmiye&lt;br /&gt;
** 4:30 pm: Stephanie and Necmiye&lt;br /&gt;
** 5:00 pm: Keshav and Emzo&lt;br /&gt;
&lt;br /&gt;
| &lt;br /&gt;
Tue @ 12: Henrik Sandberg&lt;br /&gt;
|&lt;br /&gt;
* Institute holiday on Mon&lt;br /&gt;
* Eric Colinet visiting on 5 Jul&lt;br /&gt;
* Henrik Sandberg visiting 3-9 Jul&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 11-15 Jul =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Mon, &amp;lt;font color=blue&amp;gt;9:30a-10:30a&amp;lt;/font&amp;gt;&lt;br /&gt;
* Robotics: &amp;lt;font color=blue&amp;gt;Wed&amp;lt;/font&amp;gt;, 1p-3p&lt;br /&gt;
** Speaker 3: Shuo&lt;br /&gt;
** Speaker 4: Andrea&lt;br /&gt;
* Biocircuits: &amp;lt;font color=blue&amp;gt;Thu&amp;lt;/font&amp;gt;, 10a-12p&lt;br /&gt;
** Speaker 4: Ophelia&lt;br /&gt;
** Speaker 5: Emzo&lt;br /&gt;
** iGEM presentation (30 min)&lt;br /&gt;
* SURF meetings, cycle 2: Thu, pm&lt;br /&gt;
** 3:00 pm: open&lt;br /&gt;
** 3:30 pm: open&lt;br /&gt;
** 4:00 pm: open&lt;br /&gt;
** 4:30 pm: open&lt;br /&gt;
| &lt;br /&gt;
&amp;lt;font color=blue&amp;gt;Thu&amp;lt;/font&amp;gt; @ 12: Dan Wilhelm&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 18-22 Jul =====&lt;br /&gt;
|&lt;br /&gt;
* SURF meetings, cycle 2: Thu pm&lt;br /&gt;
** 2:30p: Petter and Necmiye&lt;br /&gt;
** 3:00p: Keshav and Emzo&lt;br /&gt;
** 3:30p: Ishan and Jongmin&lt;br /&gt;
** 4:00p: Klavdia and Sawyer&lt;br /&gt;
** 4:30p: Stephanie and Necmiye&lt;br /&gt;
* iGEM: Thu, 5-6p&lt;br /&gt;
* Biocircuits: Fri, 10a-12p&lt;br /&gt;
** Speaker 6: Ye Yuan&lt;br /&gt;
** Speaker 7: Dionysios&lt;br /&gt;
** SURF 1: Paul&lt;br /&gt;
* Robotics: Fri, 1p-3p&lt;br /&gt;
** Speaker 5: pete&lt;br /&gt;
** SURF 1: Magnus&lt;br /&gt;
** SURF 2: Stephanie&lt;br /&gt;
* NCS: Fri, 3p-5p&lt;br /&gt;
** Speaker 5: Mumu&lt;br /&gt;
** Speaker 6: Ufuk&lt;br /&gt;
** SURF 1: Petter&lt;br /&gt;
| &lt;br /&gt;
Fri @ 12: Marin Kobilarov?&lt;br /&gt;
|&lt;br /&gt;
* RMM out 18-21 Jul am&lt;br /&gt;
* Josh Michener visiting 22 Jul&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 25-29 Jul =====&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|&lt;br /&gt;
* RMM out 25-29 Jul&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 1-5 Aug =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Thu, 5-6 pm&lt;br /&gt;
* Biocircuits: Fri, 10a-12p&lt;br /&gt;
** Speaker 8: Marcella&lt;br /&gt;
** SURF 2: Ishan&lt;br /&gt;
** SURF 3: Arjun&lt;br /&gt;
* NCS: Fri, 1p-3p&lt;br /&gt;
** Speaker 7: Scott Livingston&lt;br /&gt;
** Speaker 8: Eric&lt;br /&gt;
** SURF 2: Yuchen&lt;br /&gt;
* SURF meetings, cycle 3: Fri, pm&lt;br /&gt;
** 3:00p: Klavdia and Sawyer&lt;br /&gt;
** 3:30p: open&lt;br /&gt;
** 4:00p: open&lt;br /&gt;
** 4:30p: open&lt;br /&gt;
** 5:00p: open&lt;br /&gt;
| &lt;br /&gt;
Fri @ 12: speaker TBD&lt;br /&gt;
|&lt;br /&gt;
* RMM out 1-4 Aug&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 8-12 Aug =====&lt;br /&gt;
|&lt;br /&gt;
* Robotics: Tue, 1p-3p&lt;br /&gt;
** Speaker 6: open&lt;br /&gt;
** SURF 3: Klavdia&lt;br /&gt;
* SURF meetings, cycle 3: Tue, pm&lt;br /&gt;
** 3:00p: open&lt;br /&gt;
** 3:30p: Keshav and Emzo&lt;br /&gt;
** 4:00p: Ishan and Jongmin&lt;br /&gt;
** 4:30p: Stephanie and Necmiye&lt;br /&gt;
* Biocircuits: Thu, 10a-12p&lt;br /&gt;
** Speaker 9: Jongmin&lt;br /&gt;
** Speaker 10: Shaunak&lt;br /&gt;
** SURF 4: Keshav&lt;br /&gt;
* iGEM: Thu, 5p-6p&lt;br /&gt;
| &lt;br /&gt;
Thu @ 12: speaker TBD&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 15-19 Aug =====&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|&lt;br /&gt;
RMM out 15-19 Aug&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 22-26 Aug =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Mon, &amp;lt;font color=blue&amp;gt;9a-10a&amp;lt;/font&amp;gt;&lt;br /&gt;
* Biocircuits: Mon, 10a-12p&lt;br /&gt;
** Speaker 11: open&lt;br /&gt;
** Speaker 12: Enoch Yeung&lt;br /&gt;
** Speaker 13: open&lt;br /&gt;
* Robotics: Mon, 1p-3p&lt;br /&gt;
** Speaker 7: open&lt;br /&gt;
** Speaker 8: open&lt;br /&gt;
* NCS: Mon, 3p-5p&lt;br /&gt;
** Speaker 9: Linlin&lt;br /&gt;
** Speaker 10: Necmiye&lt;br /&gt;
| &lt;br /&gt;
Tue @ 12: speaker TBD&lt;br /&gt;
|&lt;br /&gt;
RMM out: 25 Aug (pm) - 1 Sep (pm)&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 29 Aug - 2 Sep =====&lt;br /&gt;
|&lt;br /&gt;
* Robotics: Thu, 1-3p&lt;br /&gt;
** Speaker 9: Shuo&lt;br /&gt;
** Speaker 10: Pete&lt;br /&gt;
* NCS: Thu, 3-5p&lt;br /&gt;
** Speaker 11: Asghar&lt;br /&gt;
** Speaker 12: Eric&lt;br /&gt;
* iGEM: Thu, 5p-6p&lt;br /&gt;
* Biocircuits; Fri, 10a-12p&lt;br /&gt;
** Speaker 14: Ophelia&lt;br /&gt;
** Speaker 15: open&lt;br /&gt;
** Speaker 16: open&lt;br /&gt;
&lt;br /&gt;
| &lt;br /&gt;
Fri @ 12p (tentative): speaker TBD &lt;br /&gt;
|&lt;br /&gt;
* RMM out: 25 Aug (pm) - 1 Sep (pm)&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 5-9 Sep =====&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|&lt;br /&gt;
* RMM out, 5-9 Sep&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
===== 12-16 Sep =====&lt;br /&gt;
|&lt;br /&gt;
* Biocircuits: Tue, 10a-12p&lt;br /&gt;
** Speaker 17: Emzo&lt;br /&gt;
** Speaker 18: open&lt;br /&gt;
** Speaker 19: open&lt;br /&gt;
* NCS: Wed, 1p-3p&lt;br /&gt;
** Speaker 13: Mumu&lt;br /&gt;
** Speaker 14: Ufuk&lt;br /&gt;
| &lt;br /&gt;
Tue @ 12p: Doug MacMynowski&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 19-23 Sep =====&lt;br /&gt;
|&lt;br /&gt;
* Robotics: Mon, 1p-3p&lt;br /&gt;
** Speaker 11: Asghar&lt;br /&gt;
** Speaker 12: Andrea&lt;br /&gt;
* Biocircuits: Tue, 10a-12p&lt;br /&gt;
** Speaker 20: open&lt;br /&gt;
** Speaker 21: Enoch Yeung&lt;br /&gt;
** Speaker 22: open&lt;br /&gt;
| &lt;br /&gt;
Tue @ 12p: speaker TBD&lt;br /&gt;
|&lt;br /&gt;
RMM out, 20 Sep (pm) to 23 Sep&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Group_Schedule,_Summer_2011&amp;diff=12756</id>
		<title>Group Schedule, Summer 2011</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Group_Schedule,_Summer_2011&amp;diff=12756"/>
		<updated>2011-06-25T15:20:57Z</updated>

		<summary type="html">&lt;p&gt;Lnilsson: /* 4-8 Jul */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
This page contains information about various upcoming events that are of interest to the group.&lt;br /&gt;
{| width=60%&lt;br /&gt;
|- valign=top&lt;br /&gt;
| width=50% |&lt;br /&gt;
* [http://www.cds.caltech.edu/~murray/calendar.html Richard&#039;s calendar (travel)]&lt;br /&gt;
| width=50% |&lt;br /&gt;
* [[Group Schedule, Spring 2011]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Summer Schedule ===&lt;br /&gt;
&lt;br /&gt;
{| border=1 width=100%&lt;br /&gt;
|- valign=top&lt;br /&gt;
| &#039;&#039;&#039;Week&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Mini-group meetings&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Group meeting&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039;Other&#039;&#039;&#039;&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
===== 13-17 Jun =====&lt;br /&gt;
|&lt;br /&gt;
None&lt;br /&gt;
| &lt;br /&gt;
None&lt;br /&gt;
| &lt;br /&gt;
RMM out all week&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
===== 20-24 Jun =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Mon @ 9:30&lt;br /&gt;
* SURF meetings, cycle 0: (sign on at [[SURF 2011]] page)&lt;br /&gt;
* NCS: Tue, 1-2:30 pm&lt;br /&gt;
** Speaker 1: Necmiye (discussion)&lt;br /&gt;
** Speaker 2: Linlin&lt;br /&gt;
|&lt;br /&gt;
Tue @ 12: Necmiye&lt;br /&gt;
|&lt;br /&gt;
RMM out 22-24 Jun&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 27 Jun - 1 Jul =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Mon, &amp;lt;font color=blue&amp;gt;9:30a-10:30a&amp;lt;/font&amp;gt;&lt;br /&gt;
* Robotics: Mon, 1-3 pm&lt;br /&gt;
** Speaker 1: Sandeep&lt;br /&gt;
** Speaker 2: Sawyer&lt;br /&gt;
* Biocircuits: Tue, 9a-2p&lt;br /&gt;
** Overview presentations (all; 10 min each)&lt;br /&gt;
** Lunch will be provided&lt;br /&gt;
* SURF meetings, cycle 1: Tue pm&lt;br /&gt;
** 4:00 pm: Yuchen and Ufuk&lt;br /&gt;
** 4:30 pm: Klavdia and Sawyer&lt;br /&gt;
** 5:00 pm: Ishan and Jongmin&lt;br /&gt;
** 5:30 pm: open&lt;br /&gt;
** 6:00 pm: Hold: Arjun&lt;br /&gt;
| &lt;br /&gt;
Mon @ 12: Nils Napp&lt;br /&gt;
|&lt;br /&gt;
* Nils Napp visiting&lt;br /&gt;
* Sean Meyn visiting&lt;br /&gt;
* RMM out 29 Jun-1 Jul (ACC)&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 4-8 Jul =====&lt;br /&gt;
|&lt;br /&gt;
* Biocircuits: Tue, 10-12&lt;br /&gt;
** Speaker 1: Marcella&lt;br /&gt;
** Speaker 2: Joe&lt;br /&gt;
** Speaker 3: Vanessa&lt;br /&gt;
* iGEM: Tue, &amp;lt;font color=blue&amp;gt;5:30-6:30p&amp;lt;/font&amp;gt;&lt;br /&gt;
* NCS: Thu, 1-3 pm&lt;br /&gt;
** Speaker 3: Scott Livingston&lt;br /&gt;
** Speaker 4: Jun Liu&lt;br /&gt;
* SURF meetings, cycle 1: Thu pm&lt;br /&gt;
** 3:00 pm: open&lt;br /&gt;
** 3:30 pm: open&lt;br /&gt;
** 4:00 pm: Petter and Necmiye&lt;br /&gt;
** 4:30 pm: Stephanie and Necmiye&lt;br /&gt;
** 5:00 pm: open&lt;br /&gt;
&lt;br /&gt;
| &lt;br /&gt;
Tue @ 12: Henrik Sandberg&lt;br /&gt;
|&lt;br /&gt;
* Institute holiday on Mon&lt;br /&gt;
* Eric Colinet visiting on 5 Jul&lt;br /&gt;
* Henrik Sandberg visiting 3-9 Jul&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 11-15 Jul =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Mon, &amp;lt;font color=blue&amp;gt;9:30a-10:30a&amp;lt;/font&amp;gt;&lt;br /&gt;
* Robotics: &amp;lt;font color=blue&amp;gt;Wed&amp;lt;/font&amp;gt;, 1p-3p&lt;br /&gt;
** Speaker 3: Shuo&lt;br /&gt;
** Speaker 4: Andrea&lt;br /&gt;
* Biocircuits: &amp;lt;font color=blue&amp;gt;Thu&amp;lt;/font&amp;gt;, 10a-12p&lt;br /&gt;
** Speaker 4: Ophelia&lt;br /&gt;
** Speaker 5: open&lt;br /&gt;
** iGEM presentation (30 min)&lt;br /&gt;
* SURF meetings, cycle 2: Thu, pm&lt;br /&gt;
** 3:00 pm: open&lt;br /&gt;
** 3:30 pm: open&lt;br /&gt;
** 4:00 pm: open&lt;br /&gt;
** 4:30 pm: open&lt;br /&gt;
| &lt;br /&gt;
&amp;lt;font color=blue&amp;gt;Thu&amp;lt;/font&amp;gt; @ 12: Speaker TBD  &lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 18-22 Jul =====&lt;br /&gt;
|&lt;br /&gt;
* SURF meetings, cycle 2: Thu pm&lt;br /&gt;
** 2:30p: open&lt;br /&gt;
** 3:00p: open&lt;br /&gt;
** 3:30p: Ishan and Jongmin&lt;br /&gt;
** 4:00p: Klavdia and Sawyer&lt;br /&gt;
** 4:30p: Stephanie and Necmiye&lt;br /&gt;
* iGEM: Thu, 5-6p&lt;br /&gt;
* Biocircuits: Fri, 10a-12p&lt;br /&gt;
** Speaker 6: Ye Yuan&lt;br /&gt;
** Speaker 7: Dionysios&lt;br /&gt;
** SURF 1: Paul&lt;br /&gt;
* Robotics: Fri, 1p-3p&lt;br /&gt;
** Speaker 5: pete&lt;br /&gt;
** SURF 1: Magnus&lt;br /&gt;
** SURF 2: Stephanie&lt;br /&gt;
* NCS: Fri, 3p-5p&lt;br /&gt;
** Speaker 5: Mumu&lt;br /&gt;
** Speaker 6: Ufuk&lt;br /&gt;
** SURF 1: Petter&lt;br /&gt;
| &lt;br /&gt;
Fri @ 12: Josh Michener&lt;br /&gt;
|&lt;br /&gt;
* RMM out 18-21 Jul am&lt;br /&gt;
* Josh Michener visiting 22 Jul&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 25-29 Jul =====&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|&lt;br /&gt;
* RMM out 25-29 Jul&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 1-5 Aug =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Thu, 5-6 pm&lt;br /&gt;
* Biocircuits: Fri, 10a-12p&lt;br /&gt;
** Speaker 8: Marcella&lt;br /&gt;
** SURF 2: Ishan&lt;br /&gt;
** SURF 3: Arjun&lt;br /&gt;
* NCS: Fri, 1p-3p&lt;br /&gt;
** Speaker 7: Scott Livingston&lt;br /&gt;
** Speaker 8: Eric&lt;br /&gt;
** SURF 2: Yuchen&lt;br /&gt;
* SURF meetings, cycle 3: Fri, pm&lt;br /&gt;
** 3:00p: Klavdia and Sawyer&lt;br /&gt;
** 3:30p: open&lt;br /&gt;
** 4:00p: open&lt;br /&gt;
** 4:30p: open&lt;br /&gt;
** 5:00p: open&lt;br /&gt;
| &lt;br /&gt;
Fri @ 12: speaker TBD&lt;br /&gt;
|&lt;br /&gt;
* RMM out 1-4 Aug&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 8-12 Aug =====&lt;br /&gt;
|&lt;br /&gt;
* Robotics: Tue, 1p-3p&lt;br /&gt;
** Speaker 6: open&lt;br /&gt;
** SURF 3: Klavdia&lt;br /&gt;
* SURF meetings, cycle 3: Tue, pm&lt;br /&gt;
** 3:00p: open&lt;br /&gt;
** 4:30p: open&lt;br /&gt;
** 4:00p: Ishan and Jongmin&lt;br /&gt;
** 5:30p: Stephanie and Necmiye&lt;br /&gt;
** 6:00p: open&lt;br /&gt;
* Biocircuits: Thu, 10a-12p&lt;br /&gt;
** Speaker 9: Jongmin&lt;br /&gt;
** Speaker 10: Shaunak&lt;br /&gt;
** SURF 4: Keshav&lt;br /&gt;
* iGEM: Thu, 5p-6p&lt;br /&gt;
| &lt;br /&gt;
Thu @ 12: speaker TBD&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 15-19 Aug =====&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|&lt;br /&gt;
RMM out 15-19 Aug&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 22-26 Aug =====&lt;br /&gt;
|&lt;br /&gt;
* iGEM: Mon, &amp;lt;font color=blue&amp;gt;9a-10a&amp;lt;/font&amp;gt;&lt;br /&gt;
* Biocircuits: Mon, 10a-12p&lt;br /&gt;
** Speaker 11: open&lt;br /&gt;
** Speaker 12: Enoch Yeung&lt;br /&gt;
** Speaker 13: open&lt;br /&gt;
* Robotics: Mon, 1p-3p&lt;br /&gt;
** Speaker 7: open&lt;br /&gt;
** Speaker 8: open&lt;br /&gt;
* NCS: Mon, 3p-5p&lt;br /&gt;
** Speaker 9: Linlin&lt;br /&gt;
** Speaker 10: Necmiye&lt;br /&gt;
| &lt;br /&gt;
Tue @ 12: speaker TBD&lt;br /&gt;
|&lt;br /&gt;
RMM out: 25 Aug (pm) - 1 Sep (pm)&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 29 Aug - 2 Sep =====&lt;br /&gt;
|&lt;br /&gt;
* Robotics: Thu, 1-3p&lt;br /&gt;
** Speaker 9: Shuo&lt;br /&gt;
** Speaker 10: Pete&lt;br /&gt;
* NCS: Thu, 3-5p&lt;br /&gt;
** Speaker 11: Asghar&lt;br /&gt;
** Speaker 12: Eric&lt;br /&gt;
* iGEM: Thu, 5p-6p&lt;br /&gt;
* Biocircuits; Fri, 10a-12p&lt;br /&gt;
** Speaker 14: Ophelia&lt;br /&gt;
** Speaker 15: open&lt;br /&gt;
** Speaker 16: open&lt;br /&gt;
&lt;br /&gt;
| &lt;br /&gt;
Fri @ 12p (tentative): speaker TBD &lt;br /&gt;
|&lt;br /&gt;
* RMM out: 25 Aug (pm) - 1 Sep (pm)&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 5-9 Sep =====&lt;br /&gt;
|&lt;br /&gt;
| &lt;br /&gt;
|&lt;br /&gt;
* RMM out, 5-9 Sep&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
===== 12-16 Sep =====&lt;br /&gt;
|&lt;br /&gt;
* Biocircuits: Tue, 10a-12p&lt;br /&gt;
** Speaker 17: open&lt;br /&gt;
** Speaker 18: open&lt;br /&gt;
** Speaker 19: open&lt;br /&gt;
* NCS: Wed, 1p-3p&lt;br /&gt;
** Speaker 13: Mumu&lt;br /&gt;
** Speaker 14: Ufuk&lt;br /&gt;
| &lt;br /&gt;
Tue @ 12p: Doug MacMynowski&lt;br /&gt;
|&lt;br /&gt;
|- valign=top&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
===== 19-23 Sep =====&lt;br /&gt;
|&lt;br /&gt;
* Robotics: Mon, 1p-3p&lt;br /&gt;
** Speaker 11: Asghar&lt;br /&gt;
** Speaker 12: Andrea&lt;br /&gt;
* Biocircuits: Tue, 10a-12p&lt;br /&gt;
** Speaker 20: open&lt;br /&gt;
** Speaker 21: Enoch Yeung&lt;br /&gt;
** Speaker 22: open&lt;br /&gt;
| &lt;br /&gt;
Tue @ 12p: speaker TBD&lt;br /&gt;
|&lt;br /&gt;
RMM out, 20 Sep (pm) to 23 Sep&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Lnilsson</name></author>
	</entry>
</feed>