Stability result of the Timoshenko system with delay and boundary feedback

Handle URI:
http://hdl.handle.net/10754/562056
Title:
Stability result of the Timoshenko system with delay and boundary feedback
Authors:
Said-Houari, Belkacem; Soufyane, Abdelaziz
Abstract:
Our interest in this paper is to analyse the asymptotic behaviour of a Timoshenko beam system together with two boundary controls, with delay terms in the first and second equation. Assuming the weights of the delay are small enough, we show that the system is well-posed using the semigroup theory. Furthermore, we introduce a Lyapunov functional that gives the exponential decay of the total energy. © 2012 The author.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Oxford University Press (OUP)
Journal:
IMA Journal of Mathematical Control and Information
Issue Date:
6-Jan-2012
DOI:
10.1093/imamci/dnr043
Type:
Article
ISSN:
02650754
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSaid-Houari, Belkacemen
dc.contributor.authorSoufyane, Abdelazizen
dc.date.accessioned2015-08-03T09:43:43Zen
dc.date.available2015-08-03T09:43:43Zen
dc.date.issued2012-01-06en
dc.identifier.issn02650754en
dc.identifier.doi10.1093/imamci/dnr043en
dc.identifier.urihttp://hdl.handle.net/10754/562056en
dc.description.abstractOur interest in this paper is to analyse the asymptotic behaviour of a Timoshenko beam system together with two boundary controls, with delay terms in the first and second equation. Assuming the weights of the delay are small enough, we show that the system is well-posed using the semigroup theory. Furthermore, we introduce a Lyapunov functional that gives the exponential decay of the total energy. © 2012 The author.en
dc.publisherOxford University Press (OUP)en
dc.subjectdampingen
dc.subjectdelayen
dc.subjectexponential decayen
dc.subjectglobal solutionsen
dc.subjectstabilityen
dc.subjectTimoshenkoen
dc.titleStability result of the Timoshenko system with delay and boundary feedbacken
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalIMA Journal of Mathematical Control and Informationen
dc.contributor.institutionALHOSN University, Faculty of Engineering and Applied Sciences, PO Box 38772, Abu Dhabi 38772, United Arab Emiratesen
kaust.authorSaid-Houari, Belkacemen
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