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TitleOn stabilization of an elastic system by fast-oscillating time-variant feedback
Author(s)Caiado, M. I.
Sarychev, A. V.
KeywordsStability and stabilization
Chronological calculus
Averaging techniques
Elastic systems
Issue dateJan-2011
JournalJournal of Mathematical Sciences
Citation"Journal of Mathematical Sciences". ISSN 1072-3374. 173 (Jan. 2011) 107-121.
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 a destabilizing linear disturbance. Our main goal is to establish conditions for stabilization and asymptotic stabilization of the equilibrium configuration of the string by applying to it fast oscillating controlled force. In first situation studied we assume that the string is subject to damping; after it we consider the same system without damping. We extend the tools of high-order averaging and of chronological calculus for studying stability of this distributed parameter system.
DescriptionThe final publication is available at (DOI: 10.1007/s10958-011-0234-9)
ISSN1072-3374 (Print)
1573-8795 (Online)
Publisher version
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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