Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method
Institut de Recherche Mathématique Avancée, Université Louis Pasteur de Strasbourg, 7 rue René-Descartes, 67084 Strasbourg Cedex,
Revised: 31 August 2000
Revised: 22 November 2000
We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.
Mathematics Subject Classification: 93C20 / 35B37 / 35D05 / 73K50
Key words: Hybrid system / weak solution / exact controllability / singular control / unique continuation.
© EDP Sciences, SMAI, 2001