Exponential stabilization of a microbeam system with a boundary or distributed time delay

This paper addresses the stabilization problem of a microscale beam system subject to a delay. Several situations are considered depending whether the delay occurs as a boundary or interior/distributed term. In both cases, the microbeam system is shown to be well posed in the sense of semigroups the...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 14; pp. 11613 - 11630
Main Authors Feng, Baowei, Chentouf, Boumediène
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.09.2021
Subjects
asymptotic stability in control theory
Energy methods
exponential stability
Linear operators
Lyapunov and other classical stabilities in control theory
Microbeams
Stabilization
stabilization of systems by feedback
Time lag
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Summary:This paper addresses the stabilization problem of a microscale beam system subject to a delay. Several situations are considered depending whether the delay occurs as a boundary or interior/distributed term. In both cases, the microbeam system is shown to be well posed in the sense of semigroups theory of linear operators. More importantly, using the energy method, the exponential stability is established as long as the parameter of the delay term is small.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7518