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TitleOn asymptotic stabilization of elastic systems
Author(s)Caiado, M. I.
Sarychev, A. V.
KeywordsElastic systems
Chronological calculus
Stability and stabilization
Averaging techniques
Issue date2005
Abstract(s)We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our working example is the equation of a vibrating string subject to linear disturbance and damping. The main goal is to establish conditions for asymptotic stabilization by applying a fast oscillating control to the string. We extend the tools of high-order averaging and of chronological calculus for studying asymptotic stability of the distributed parameter system.
TypeConference paper
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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