Control of Boundaries and Stabilization: Proceedings of the IFIP WG 7.2 Conference, Clermont Ferrand, France, June 20-23, 1988

ISBN-13: 9783540512394 / Angielski / Miękka / 1989 / 269 str.

Jacques Simon

Opis

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.

Spis treści

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 système surfacique (équation 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.