MCT'06
|
| Scope of Workshop | Workshop Committee | Local Information |
| Principal Talks | Other Talks | Workshop Schedule |
Scope of Workshop
Principal Talks
| Speaker |
Title of Talks |
Affiliation |
|---|---|---|
| Francis Clarke |
Calculus of Variations, Nonsmooth Analysis and Control Theory |
Institut Camille Jordan, Université Claude-Bernard (Lyon I), FRANCE |
Clarke's lectures will take place on each day of the workshop starting at 9AM in 116 Prescott Hall. Abstract: This series of eight lectures begins by presenting nonsmooth analysis: what is it, and why do we need it? Next comes an introduction to the calculus of variations, from its classical roots to modern developments in optimal control. Along the way, we will see the role of the Hamilton-Jacobi equation and the Pontryagin maximum principle. We next look at the central issue in contemporary control theory, the design of feedbacks, in the context of Lyapunov methods, stabilization, and sliding modes. The final topic will be a return to the calculus of variations, but in the multiple integral setting, where the regularity theorems of Hilbert-Haar and De Giorgi will be revisited. The emphasis throughout the talks will be on basic questions, main approaches, and general principles. Biography of Speaker: Francis Clarke was born in 1948 in Montréal. His PhD is from the University of Washington (1973); he became a full professor at the University of British Columbia in 1978. In 1984 he was named director of the Centre de Recherches Mathématiques (CRM) at l'Université de Montréal. During his nine year tenure, CRM evolved into Canada's first national research center for mathematics and its applications. Clarke was also founding director of ISM, a mathematics institute spanning Montréal's four universities. He is now a faculty member at l'Université de Lyon, in l'Institut Camille Jordan and also holds a chair in mathematical control theory at l'Institut universitaire de France. Francis Clarke's research interests lie in nonsmooth analysis (a term he coined), differential equations, control theory, optimization, and the calculus of variations. His contributions have involved the development of nonsmooth calculus, its applications to dynamic optimization, regularity and existence theory in the calculus of variations, Hamiltonian mechanics, generalized solutions of the Hamilton-Jacobi equation, and feedback control synthesis. Francis Clarke is the author of the book Optimization and Nonsmooth Analysis (Wiley 1983, now in SIAM's Classics in Applied Mathematics Series), which has been translated into Russian. A Fellow of the Royal Society of Canada, he received the Coxeter-James and the Archambault research prizes, and a Killam Fellowship. He has been a featured speaker at the International Congress of Mathematicians (Helsinki 1978), plenary speaker at the IEEE Conference on Decision and Control (Brighton 1991) and the European Control Conference (Porto 2001) and keynote speaker at the Congress of Nonlinear Analysts (Athens 1996). In 2004 he was president of the scientific committee for the first joint meeting of the six mathematical societies of Canada and France.
Other Talks
|
|
Title and
Time of
Talk |
|
|---|---|---|
| Zvi Artstein |
Relaxed Controls and Related Ideas
(May 19th, 2PM) |
Department of Mathematics, Weizmann Institute of Science, ISRAËL |
| Abdou Dramé |
Semilinear Parabolic Boundary Value
Problems: An Application to Bioreactors (May 23rd, 1:30PM) |
Center for Systems Engineering and Applied Mechanics (CESAME), Department of Applied Mathematics, Université Catholique de Louvain, BELGIUM |
|
Michael
Malisoff |
On Strict Lyapunov Functions for Discrete Time, Continuous Time, and
Hybrid Time-Varying Systems
(May 24th, 2:15PM) |
Department of
Mathematics, Louisiana State University, Baton Rouge |
|
Antonio Marigonda |
Differentiability
Properties for a Class of
Non-Lipschitz Functions and Applications (May 23rd, 2:15PM) |
Dipartimento di Matematica, Università di Roma "La Sapienza", Rome, ITALY |
| Chadi Nour | The
Hamilton-Jacobi Equation of the Minimal Time Function: The
Constant
Dynamic Case (May 18th, 1:30PM) |
Computer Science and Mathematics Division, Lebanese American University, Byblos, LEBANON |
|
Norma Ortiz |
The
Generalized Problem
of Bolza with Time Delay (May 24th, 1:30PM) |
Department of Mathematics, Virginia Commonwealth University, Richmond,
VA
|
| Vinicio Ríos | The Minimal
Time Function under the
Monotone Lipschitz Assumption (May 18th, 3PM) |
Departamento de Matemáticas, Facultad Experimental de Ciencias, Universidad del Zulia, Maracaibo, VENEZUELA |
All talks will be in 203 Prescott unless otherwise noted.
Workshop Committee
| Member |
Responsibility |
Affiliation |
|---|---|---|
| Alvaro Guevara |
Assistant Organizer |
Department of Mathematics, Louisiana State University, USA |
| Michael
Malisoff |
MCT'06 Co-Chair |
Department of Mathematics, Louisiana State University, USA |
| Peter
Wolenski |
MCT'06 Chair |
Department of Mathematics, Louisiana State University, USA |
Acknowledgements: The organizers thank the LSU Department of Mathematics staff and Louisiana Travel for assisting with this workshop. This workshop has been sponsored in part by the Louisiana Board of Regents grant "Enhancement of Control Theory at LSU" (P. Wolenski, Principal Investigator).
Local Information
Workshop Schedule
There will be one principal talk by Francis Clarke on each day of the workshop for a total of eight principal lectures. The principal talks will take place each day in 116 Prescott Hall from 9AM to 11:30AM. There will also be afternoon sessions in 203 Prescott starting at 1:30PM.
This document is under construction.