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euler-bernoulli beams

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

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Control of networks of Euler-Bernoulli beams
Bertrand Dekoninck, Serge Nicaise
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 4 / 1999

Published online by Cambridge University Press:

15 August 2002, pp. 57-81

Print publication:

1999
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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.