Control of Boundaries and Stabilization -

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Résumé :
The present proceedings volume is devoted to two subjects. Stabilization with emphasis on exact controllability: considering a physical system, such as a vibrating plate, one can reach a steady state in a finite time by acting on the boundary. Control of boundaries: given a physical system find the geometry of the domain (optimal shape) which minimizes a cost related to the solution of a boundary value problem in this domain, for example find a minimum drag profile. Many lectures included mathematical analysis as well as engineering applications and numerical simulation.

Sommaire:
Remarks on the exact controllability for large times.- Microlocal ideas in control and stabilization.- Spectral and asymptotic properties of linear elastic systems with internal energy dissipation.- On riblets in laminar flows.- Iterated homogenization and the effective properties of polycrystals.- Some remarks on the exact controllability in a neighbourhood of the boundary of a perforated domain.- A newton 's method in a domain optimization problem.- Optimal control of hemivariational inequalities.- Exact controllability in short time.- Uniform boundary stabilization of tiiermoelastic plates.- Asymptotic behavior of the solutions of the kirkhoff plate with nonlinear dissipation in the bending moment.- Stabilization of a vibrating string system linked by point masses.- Some identification problems in petroleum geophisics.- Development of a two/three dimensional shape optimization program with solid modelling, semi-automatic mesh generation and adaptive mesh refinement.- Optimisation d'un syst?me surfacique (?quation de la chaleur).- Output least square estimation of power-laws in distributed damping models: Beams.- Some remarks on the boundary stabilizability of the wave equation.