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Energy decay estimates for a beam with nonlinear boundary feedback

Francis Conrad 1 Juliette Leblond 2, 3 Jean-Paul Marmorat 2 
1 IECN - Institut Élie Cartan de Nancy
2 CMA - Centre de Mathématiques Appliquées
3 MIAOU - Mathematics and Computing in Automatic Control and Optimization for the User
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We obtain decay estimates for an Euler-Bernoulli beam which is clamped at one end and controlled at the other end by a point force that is a nonlinear function of the observed transversal velocity. Numerical simulations show that the estimates are fairly accurate.
Keywords : Euler Bernoulli Beam Nonlinear Function Nonlinear Simulation Control Systems Mechanical Variables Control
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00504856
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Submitted on : Wednesday, July 21, 2010 - 4:06:31 PM
Last modification on : Friday, February 4, 2022 - 3:09:12 AM

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Francis Conrad, Juliette Leblond, Jean-Paul Marmorat. Energy decay estimates for a beam with nonlinear boundary feedback. J. P. Zolésio. Stabilization of Flexible Structures: Third working conference, Montpellier, France, January 1989, Springer Verlag, pp.46-61, ISBN 978-3-540-53161-6, 1990, Lecture Notes in Control and Information Sciences : volume 147, ⟨10.1007/BFb0005148⟩. ⟨hal-00504856⟩

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