MCT'06
Louisiana Workshop on
Mathematical Control Theory
May 1625, 2006
Louisiana State University
Baton Rouge, LA
Scope of Workshop
This meeting includes eight principal talks by Francis Clarke
who is a major figure in nonsmooth analysis and optimization theory.
There
will also be
seven additional
presentations by other speakers including a keynote presentation by Zvi
Artstein on relaxed controls. The workshop topics include
nonsmooth analysis, HamiltonJacobiBellman equations, and
feedback stabilization. It promotes interdisciplinary contact between
mathematical control researchers, and provides opportunities for young
researchers and graduate students interested in applied controls and
optimization to meet and interact with leading figures in the field.
Awards from the Louisiana
Board of Regents Enhancement Program support attendance at the workshop by young
researchers and participants without other means of travel support.
This meeting fosters advances in mathematical control
theory and increased interaction between the pure and applied
mathematics communities. The workshop
includes participants from several countries, including students and
young
faculty, furthering collaboration among research groups in different
parts of the world.
Principal Talks
Speaker

Title of Talks

Affiliation

Francis
Clarke 
Calculus of Variations, Nonsmooth Analysis and Control Theory

Institut Camille Jordan,
Université
ClaudeBernard (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 HamiltonJacobi 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 HilbertHaar 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 HamiltonJacobi 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 CoxeterJames 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
Speaker

Title and
Time of
Talk

Affiliation

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 TimeVarying Systems
(May 24th,
2:15PM)

Department of
Mathematics, Louisiana State University, Baton Rouge

Antonio Marigonda

Differentiability
Properties for a Class of
NonLipschitz Functions and Applications (May 23rd,
2:15PM)

Dipartimento di Matematica,
Università di
Roma
"La Sapienza", Rome, ITALY

Chadi
Nour 
The
HamiltonJacobi 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 CoChair

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
This workshop will take place on the main campus of Louisiana State
University (LSU) in Baton Rouge.
The nearest airport to LSU is Baton
Rouge Metropolitan Airport (BTR), which is 8 miles away. BTR is
serviced by Continental Airlines, and offers service to international
airports in Atlanta, Houston, and Memphis. Participants may find it
more
convenient to use the New Orleans International Airport (MSY), which is
75 miles away. However, there is no passenger train service between
Baton Rouge
and New Orleans, and the bus service from New Orleans to LSU is very
limited. To help find their way around LSU, participants can go to the
LSU Visitor
Information Center to get campus directions and parking
instructions. An online
campus map is also available. Some local attractions located near
LSU include the Louisiana
State Capitol and the Bluebonnet
Swamp. The weather in Baton Rouge
for the workshop is expected to be rainfree with highs in the 90's
and lows in the 70's.
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.
