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Article: Exponential stabilization of laminated beams with structural damping and boundary feedback controls

TitleExponential stabilization of laminated beams with structural damping and boundary feedback controls
Authors
KeywordsExponential stability
Laminated beams
Riesz basis
Issue Date2006
PublisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SICON
Citation
SIAM Journal On Control And Optimization, 2006, v. 44 n. 5, p. 1575-1597 How to Cite?
AbstractWe study the boundary stabilization of laminated beams with structural damping which describes the slip occurring at the interface of two-layered objects. By using an invertible matrix function with an eigenvalue parameter and an asymptotic technique for the first order matrix differential equation, we find out an explicit asymptotic formula for the matrix fundamental solutions and then carry out the asymptotic analyses for the eigenpairs. Furthermore, we prove that there is a sequence of generalized eigenfunctions that forms a Riesz basis in the state Hilbert space, and hence the spectrum determined growth condition holds. Furthermore, exponential stability of the closed-loop system can be deduced from the eigenvalue expressions. In particular, the semigroup generated by the system operator is a Co-group due to the fact that the three asymptotes of the spectrum are parallel to the imaginary axis. © 2005 Society for Industrial and Applied Mathematics.
Persistent Identifierhttp://hdl.handle.net/10722/53388
ISSN
2015 Impact Factor: 1.491
2015 SCImago Journal Rankings: 1.904
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, JMen_HK
dc.contributor.authorXu, GQen_HK
dc.contributor.authorYung, SPen_HK
dc.date.accessioned2009-04-03T07:18:27Z-
dc.date.available2009-04-03T07:18:27Z-
dc.date.issued2006en_HK
dc.identifier.citationSIAM Journal On Control And Optimization, 2006, v. 44 n. 5, p. 1575-1597en_HK
dc.identifier.issn0363-0129en_HK
dc.identifier.urihttp://hdl.handle.net/10722/53388-
dc.description.abstractWe study the boundary stabilization of laminated beams with structural damping which describes the slip occurring at the interface of two-layered objects. By using an invertible matrix function with an eigenvalue parameter and an asymptotic technique for the first order matrix differential equation, we find out an explicit asymptotic formula for the matrix fundamental solutions and then carry out the asymptotic analyses for the eigenpairs. Furthermore, we prove that there is a sequence of generalized eigenfunctions that forms a Riesz basis in the state Hilbert space, and hence the spectrum determined growth condition holds. Furthermore, exponential stability of the closed-loop system can be deduced from the eigenvalue expressions. In particular, the semigroup generated by the system operator is a Co-group due to the fact that the three asymptotes of the spectrum are parallel to the imaginary axis. © 2005 Society for Industrial and Applied Mathematics.en_HK
dc.languageengen_HK
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SICONen_HK
dc.relation.ispartofSIAM Journal on Control and Optimizationen_HK
dc.rightsS I A M Journal on Control and Optimization. Copyright © Society for Industrial and Applied Mathematics.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectExponential stabilityen_HK
dc.subjectLaminated beamsen_HK
dc.subjectRiesz basisen_HK
dc.titleExponential stabilization of laminated beams with structural damping and boundary feedback controlsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0363-0129&volume=44&issue=5&spage=1575&epage=1597&date=2006&atitle=Exponential+stabilization+of+laminated+beams+with+structural+damping+and+boundary+feedback+controlsen_HK
dc.identifier.emailYung, SP:spyung@hkucc.hku.hken_HK
dc.identifier.authorityYung, SP=rp00838en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1137/040610003en_HK
dc.identifier.scopuseid_2-s2.0-33746020809en_HK
dc.identifier.hkuros112678-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33746020809&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume44en_HK
dc.identifier.issue5en_HK
dc.identifier.spage1575en_HK
dc.identifier.epage1597en_HK
dc.identifier.isiWOS:000234470600002-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWang, JM=7701333092en_HK
dc.identifier.scopusauthoridXu, GQ=7404263948en_HK
dc.identifier.scopusauthoridYung, SP=7006540951en_HK

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