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ESAIM: Control, Optimisation and Calculus of Variations (1)

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Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method
Bopeng Rao
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 6 / 2001

Published online by Cambridge University Press:

15 August 2002, pp. 183-199

Print publication:

2001
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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.