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

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.

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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.

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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.
Content:
Front Matter....Pages -
Remarks on the exact controllability for large times....Pages 1-13
Microlocal ideas in control and stabilization....Pages 14-30
Spectral and asymptotic properties of linear elastic systems with internal energy dissipation....Pages 31-50
On riblets in laminar flows....Pages 51-65
Iterated homogenization and the effective properties of polycrystals....Pages 66-74
Some remarks on the exact controllability in a neighbourhood of the boundary of a perforated domain....Pages 75-93
A newton's method in a domain optimization problem....Pages 109-127
Optimal control of hemivariational inequalities....Pages 128-139
Exact controllability in short time....Pages 140-153
Uniform boundary stabilization of tiiermoelastic plates....Pages 154-167
Asymptotic behavior of the solutions of the kirkhoff plate with nonlinear dissipation in the bending moment....Pages 168-176
Stabilization of a vibrating string system linked by point masses....Pages 177-198
Some identification problems in petroleum geophisics....Pages 199-210
Development of a two/three dimensional shape optimization program with solid modelling, semi-automatic mesh generation and adaptive mesh refinement....Pages 211-230
Optimisation d'un syst?me surfacique (?quation de la chaleur)....Pages 231-240
Output least square estimation of power-laws in distributed damping models: Beams....Pages 241-250
Some remarks on the boundary stabilizability of the wave equation....Pages 251-266

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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.
Content:
Front Matter....Pages -
Remarks on the exact controllability for large times....Pages 1-13
Microlocal ideas in control and stabilization....Pages 14-30
Spectral and asymptotic properties of linear elastic systems with internal energy dissipation....Pages 31-50
On riblets in laminar flows....Pages 51-65
Iterated homogenization and the effective properties of polycrystals....Pages 66-74
Some remarks on the exact controllability in a neighbourhood of the boundary of a perforated domain....Pages 75-93
A newton's method in a domain optimization problem....Pages 109-127
Optimal control of hemivariational inequalities....Pages 128-139
Exact controllability in short time....Pages 140-153
Uniform boundary stabilization of tiiermoelastic plates....Pages 154-167
Asymptotic behavior of the solutions of the kirkhoff plate with nonlinear dissipation in the bending moment....Pages 168-176
Stabilization of a vibrating string system linked by point masses....Pages 177-198
Some identification problems in petroleum geophisics....Pages 199-210
Development of a two/three dimensional shape optimization program with solid modelling, semi-automatic mesh generation and adaptive mesh refinement....Pages 211-230
Optimisation d'un syst?me surfacique (?quation de la chaleur)....Pages 231-240
Output least square estimation of power-laws in distributed damping models: Beams....Pages 241-250
Some remarks on the boundary stabilizability of the wave equation....Pages 251-266
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