Monday, July 14

(This session will run until 1:00PM)

10:30 AM-12:30 PM
Building 320, Room 105

Analysis and Control of Nonlinear and Coupled Distributed Parameter Systems

(Sponsored by SIAM Activity Group on Control and Systems Theory)

The purpose of this session is to address some current directions and issues in control theory of distributed parameter systems. Specifically, aspects of recent developments in both analysis and control theory of physical systems that may be modeled as nonlinear, or coupled, partial differential equations will be discussed. Specific applications are to large deformations of interconnected elastic structures, to nonlinear diffusion processes, and to various coupled systems of partial differential equations, such as the system of elastodynamics.

In the last 10 years there has been enormous progress in control theory of the basic boundary value problems of linear partial differential equations. Some recent developments are directed towards (1) refining and extending the linear theory through the introduction of more sophisticated concepts and techniques, such as microlocal analysis and propagation of singularities; (2) extending the theory to nonlinear problems in partial differential equation such as arise, for instance, in shell theory; (3) extending the theory to complex coupled systems of partial differential equations such as arise in the study of interconnected elastic structures.

Organizers: John E. Lagnese, Georgetown University; and Vilmos Komornik, Université Louis Pasteur, France

10:30 Some Results on Controllability via Nonharmonic Analysis
Paola Loreti, Consiglio Nazionale delle Ricerche, Italy
11:00 Controllability Properties of the Semilinear Parabolic Equations with Internal Lumped and Locally Distributed Controls
Alexander Y. Khapalov, Washington State University
11:30 On Controlling the Motion of a Coupled Mechanical System from One Equilibrium Location to Another
Georg Schmidt, McGill University, Canada
12:00 Controllability and Stabilization of Elastodynamic Systems
Vilmos Komornik, Organizer
12:30 Convergence of Approximations to Nonlinear Optimal Control Problems
Kazimierz Malanowski, Polish Academy of Sciences, Poland

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TMP, 4/4/97 tjf, 5/27/97