Murray Wiki - User contributions [en]

Alex Mauroy, Nov 2013

2013-11-20T01:01:29Z

Syou: /* Schedule */

=== Schedule ===

* 9:30 am: meet with Richard, 109 Steele
* 10:00 am: Open
* 10:45 am: Open
* 11:30 am: Open
* 12:00 pm: Group Meeting Seminar, 213 Annenberg
* 1:15 pm: Meet with John Doyle
* 2:00 pm: Seungil You, 231 Annenberg
* 2:45 pm: Open
* 3:30 pm: Open
* 4:15 pm: Open

=== Talk Abstract===

===== A spectral operator-theoretic approach to dissipative systems: geometry and global stability =====

Operator-theoretic methods provide a powerful global description of dynamical systems. They transform a nonlinear system into a linear (but infinite-dimensional) system and are therefore well-suited to spectral analysis. These methods have been largely developed over the past decades for conservative systems (i.e., on an attractor), in the context of unitary operators, but they have almost never been applied to dissipative systems (i.e., off the attractor).
> In this talk, we present an operator-theoretic framework for the study of dissipative systems, which relies on the so-called Koopman operator. In particular, we show that the global geometric properties of the systems are captured by the spectral properties of the Koopman operator. For instance the well-known isochrons of limit cycles are related to an eigenfunction of the operator, an observation which yields a new method for computing them and which is used to extend the concept to other types of attractors. In addition, (global) stability properties of the system are revealed by the existence of particular eigenfunctions. This provides a new framework for the global stability analysis of general attractors.

SoCal NLC Carpool 2011-10-14

2011-10-08T00:32:49Z

Syou: /* Returning to Pasadena */

Please enter information in the table below if you can give a ride or need a ride. If you can't edit the table, send e-mail to the driver (if you need a ride) or to Richard (if you can provide a ride).

* [http://www.ee.ucla.edu/~tabuada/SoCalNLC/ Workshop web page]

==== Driving out to UCLA ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 8:00 am
| Driver #1
| N passengers:
* Elisa
* Eric W.
* Ivan Papusha
|}

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 8:00 am
| Kevin Shan
| 4 passengers:
* Anandh
* Seungil You
|}

==== Returning to Pasadena ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 5:30 pm
| Driver #1
| N passengers
* Elisa
* Eric W.
* Ivan Papusha
|}

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 5:30 pm
| Kevin
| 4 passengers
* Anandh
* Seungil You
|}

SoCal NLC Carpool 2011-10-14

2011-10-08T00:32:23Z

Syou: /* Driving out to UCLA */

Please enter information in the table below if you can give a ride or need a ride. If you can't edit the table, send e-mail to the driver (if you need a ride) or to Richard (if you can provide a ride).

* [http://www.ee.ucla.edu/~tabuada/SoCalNLC/ Workshop web page]

==== Driving out to UCLA ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 8:00 am
| Driver #1
| N passengers:
* Elisa
* Eric W.
* Ivan Papusha
|}

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 8:00 am
| Kevin Shan
| 4 passengers:
* Anandh
* Seungil You
|}

==== Returning to Pasadena ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 5:30 pm
| Driver #1
| N passengers
* Seungil You
* Elisa
* Eric W.
* Ivan Papusha
|}

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 5:30 pm
| Kevin
| 4 passengers
* Anandh
|}

SoCal NLC Carpool 2011-10-14

2011-10-06T20:17:38Z

Syou: /* Returning to Pasadena */

Please enter information in the table below if you can give a ride or need a ride. If you can't edit the table, send e-mail to the driver (if you need a ride) or to Richard (if you can provide a ride).

* [http://www.ee.ucla.edu/~tabuada/SoCalNLC/ Workshop web page]

==== Driving out to UCLA ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 8:00 am
| Driver #1
| N passengers:
* Seungil You
* person 1
* person 2
* person 3
|}

==== Returning to Pasadena ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 5:30 pm
| Driver #1
| N passengers
* Seungil You
* person 1
* person 2
* person 3
|}

SoCal NLC Carpool 2011-10-14

2011-10-06T20:17:29Z

Syou: /* Driving out to UCLA */

Please enter information in the table below if you can give a ride or need a ride. If you can't edit the table, send e-mail to the driver (if you need a ride) or to Richard (if you can provide a ride).

* [http://www.ee.ucla.edu/~tabuada/SoCalNLC/ Workshop web page]

==== Driving out to UCLA ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 8:00 am
| Driver #1
| N passengers:
* Seungil You
* person 1
* person 2
* person 3
|}

==== Returning to Pasadena ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 5:30 pm
| Driver #1
| N passengers
Seungil You
* person 1
* person 2
* person 3
|}

SoCal NLC Carpool 2011-10-14

2011-10-06T20:17:14Z

Syou: /* Returning to Pasadena */

Please enter information in the table below if you can give a ride or need a ride. If you can't edit the table, send e-mail to the driver (if you need a ride) or to Richard (if you can provide a ride).

* [http://www.ee.ucla.edu/~tabuada/SoCalNLC/ Workshop web page]

==== Driving out to UCLA ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 8:00 am
| Driver #1
| N passengers:
Seungil You
* person 1
* person 2
* person 3
|}

==== Returning to Pasadena ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 5:30 pm
| Driver #1
| N passengers
Seungil You
* person 1
* person 2
* person 3
|}

SoCal NLC Carpool 2011-10-14

2011-10-06T20:17:01Z

Syou: /* Driving out to UCLA */

Please enter information in the table below if you can give a ride or need a ride. If you can't edit the table, send e-mail to the driver (if you need a ride) or to Richard (if you can provide a ride).

* [http://www.ee.ucla.edu/~tabuada/SoCalNLC/ Workshop web page]

==== Driving out to UCLA ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 8:00 am
| Driver #1
| N passengers:
Seungil You
* person 1
* person 2
* person 3
|}

==== Returning to Pasadena ====

{| border=1
|- valign=top
| Departure time
| Driver
| Passengers
|- valign=top
| 5:30 pm
| Driver #1
| N passengers
* person 1
* person 2
* person 3
|}