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Article: Exponential stability of variable coefficients Rayleigh beams under boundary feedback controls: A Riesz basis approach

TitleExponential stability of variable coefficients Rayleigh beams under boundary feedback controls: A Riesz basis approach
Authors
KeywordsEigenvalue distributions
Exponential stability
Rayleigh beam
Riesz basis
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2004, v. 51 n. 1, p. 33-50 How to Cite?
AbstractIn this paper, we study the boundary stabilizing feedback control problem of Rayleigh beams that have non-homogeneous spatial parameters. We show that no matter how non-homogeneous the Rayleigh beam is, as long as it has positive mass density, stiffness and mass moment of inertia, it can always be exponentially stabilized when the control parameters are properly chosen. The main steps are a detail asymptotic analysis of the spectrum of the system and the proving of that the generalized eigenfunctions of the feedback control system form a Riesz basis in the state Hilbert space. As a by-product, a conjecture in Guo (J. Optim. Theory Appl. 112(3) (2002) 529) is answered. © 2003 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/48612
ISSN
2015 Impact Factor: 1.908
2015 SCImago Journal Rankings: 2.323
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, JMen_HK
dc.contributor.authorXu, GQen_HK
dc.contributor.authorYung, SPen_HK
dc.date.accessioned2008-05-22T04:18:56Z-
dc.date.available2008-05-22T04:18:56Z-
dc.date.issued2004en_HK
dc.identifier.citationSystems And Control Letters, 2004, v. 51 n. 1, p. 33-50en_HK
dc.identifier.issn0167-6911en_HK
dc.identifier.urihttp://hdl.handle.net/10722/48612-
dc.description.abstractIn this paper, we study the boundary stabilizing feedback control problem of Rayleigh beams that have non-homogeneous spatial parameters. We show that no matter how non-homogeneous the Rayleigh beam is, as long as it has positive mass density, stiffness and mass moment of inertia, it can always be exponentially stabilized when the control parameters are properly chosen. The main steps are a detail asymptotic analysis of the spectrum of the system and the proving of that the generalized eigenfunctions of the feedback control system form a Riesz basis in the state Hilbert space. As a by-product, a conjecture in Guo (J. Optim. Theory Appl. 112(3) (2002) 529) is answered. © 2003 Elsevier B.V. All rights reserved.en_HK
dc.format.extent247372 bytes-
dc.format.extent3630 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconleen_HK
dc.relation.ispartofSystems and Control Lettersen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsSystems & Control Letters. Copyright © Elsevier BV.en_HK
dc.subjectEigenvalue distributionsen_HK
dc.subjectExponential stabilityen_HK
dc.subjectRayleigh beamen_HK
dc.subjectRiesz basisen_HK
dc.titleExponential stability of variable coefficients Rayleigh beams under boundary feedback controls: A Riesz basis approachen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-6911&volume=51&issue=1&spage=33&epage=50&date=2004&atitle=Exponential+Stability+of+Variable+Coefficients+Rayleigh+Beams+under+Boundary+Feedback+Controlsen_HK
dc.identifier.emailYung, SP:spyung@hkucc.hku.hken_HK
dc.identifier.authorityYung, SP=rp00838en_HK
dc.description.naturepostprinten_HK
dc.identifier.doi10.1016/S0167-6911(03)00205-6en_HK
dc.identifier.scopuseid_2-s2.0-0242575856en_HK
dc.identifier.hkuros88946-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0242575856&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume51en_HK
dc.identifier.issue1en_HK
dc.identifier.spage33en_HK
dc.identifier.epage50en_HK
dc.identifier.isiWOS:000188835000004-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridWang, JM=7701333092en_HK
dc.identifier.scopusauthoridXu, GQ=7404263948en_HK
dc.identifier.scopusauthoridYung, SP=7006540951en_HK

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