Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes

doi:10.1016/S0764-4442(97)80053-5

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Volume 325, Issue 7, October 1997, Pages 749-752

Comptes Rendus de l'...

Note présentée par Jean-Michel Bony.

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Résumé

On démontre que la condition de contrôle géométrique de C. Bardos, G. Lebeau et J. Rauch est une condition nécessaire et suffisante pour la eontrôlabilité exacte des ondes avec conditions de Dirichlet sur le bord.

Abstract

We show that the geometric control condition of C. Bardos, G. Lebeau, and J. Rauch is a necessary and sufficient condition for the exact controllability of the wave equation with Dirichlet boundary conditions.

Références bibliographiques (8)

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There are more references available in the full text version of this article.

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Condition nécessaire et suffisante pour la contrôlabilité exacte des ondesA necessary and sufficient condition for the exact controllability of the wave equation

Résumé

Abstract

Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary

SIAM J. Control Optim.

Contrôle de l'équation des ondes dans des ouverts peu réguliers

Assymp. Anal.

Microlocal defect measures

Commun. Pan. Diff. Eq.

Ergodic properties of eigenfunctions of the Dirichlet problem

Duke Math. J.