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Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method

Published online by Cambridge University Press:  15 August 2002

Bopeng Rao
Bopeng Rao*
Affiliation:
Institut de Recherche Mathématique Avancée, Université Louis Pasteur de Strasbourg, 7 rue René-Descartes, 67084 Strasbourg Cedex, France; rao@math.u-strasbg.fr.
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Abstract

We consider the exact controllability of a hybridsystem consisting of an elastic beam, clamped at one end and attached at the other end to arigid antenna. Such a system is governed by one partialdifferential equation and two ordinary differential equations. Using theHUM method, we prove that the hybrid system is exactlycontrollable in an arbitrarily short time in the usual energy space.

Keywords

Hybrid systemweak solutionexact controllabilitysingular controlunique continuation.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 6 , 2001 , pp. 183 - 199
Copyright
© EDP Sciences, SMAI, 2001

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