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Control of networks of Euler-Bernoulli beams

Published online by Cambridge University Press:  15 August 2002

Bertrand Dekoninck  and
Serge Nicaise
Bertrand Dekoninck
Affiliation:
Université de Valenciennes et du Hainaut Cambrésis, LIMAV, BP. 311, 59304 Valenciennes Cedex, France; snicaise@univ-valenciennes.fr.
Serge Nicaise
Affiliation:
Université de Valenciennes et du Hainaut Cambrésis, LIMAV, BP. 311, 59304 Valenciennes Cedex, France; snicaise@univ-valenciennes.fr.
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Abstract

We consider the exact controllability problem by boundary action of hyperbolic systems of networks of Euler-Bernoulli beams. Using the multiplier method and Ingham's inequality, we give sufficient conditions insuring the exact controllability for all time. These conditions are related to the spectral behaviour of the associated operator and are sufficiently concrete in order to be able to check them on particular networks as illustrated on simple examples.

Keywords

ControlEuler-Bernoulli beamsnetworksspectral analysis
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 4 , 1999 , pp. 57 - 81
Copyright
© EDP Sciences, SMAI, 1999

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