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Article: Stability of a nonuniform Rayleigh beam with indefinite damping

TitleStability of a nonuniform Rayleigh beam with indefinite damping
Authors
KeywordsEigenvalue distributions
Indefinite damping
Rayleigh beam
Riesz basis
Issue Date2006
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2006, v. 55 n. 10, p. 863-870 How to Cite?
AbstractThis is a continuation of our earlier work [J.M. Wang, G.Q. Xu, S.P. Yung, Exponential stability for variable coefficients Rayleigh beams under boundary feedback control: a Riesz basis approach, Systems Control Lett. 51 (1) (2004) 33-50] on the study of a nonhomogeneous Rayleigh beam and this time the stabilization is achieved via an internal damping instead of the boundary feedbacks. We continue to address a conjecture of Guo [Basis property of a Rayleigh beam with boundary stabilization, J. Optim. Theory Appl. 112(3) (2002) 529-547] in this paper and demonstrate how the damping term can affect the decay rate asymptotically. By a detailed spectral analysis, we obtain a necessary condition for the stability and establish the Riesz basis property as well as the spectrum determined growth condition for the system. Furthermore, when the damping is indefinite, we provide a condition on how "negative" the damping can be without destroying the exponential stability. © 2006 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75262
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.authorYung, SPen_HK
dc.date.accessioned2010-09-06T07:09:28Z-
dc.date.available2010-09-06T07:09:28Z-
dc.date.issued2006en_HK
dc.identifier.citationSystems And Control Letters, 2006, v. 55 n. 10, p. 863-870en_HK
dc.identifier.issn0167-6911en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75262-
dc.description.abstractThis is a continuation of our earlier work [J.M. Wang, G.Q. Xu, S.P. Yung, Exponential stability for variable coefficients Rayleigh beams under boundary feedback control: a Riesz basis approach, Systems Control Lett. 51 (1) (2004) 33-50] on the study of a nonhomogeneous Rayleigh beam and this time the stabilization is achieved via an internal damping instead of the boundary feedbacks. We continue to address a conjecture of Guo [Basis property of a Rayleigh beam with boundary stabilization, J. Optim. Theory Appl. 112(3) (2002) 529-547] in this paper and demonstrate how the damping term can affect the decay rate asymptotically. By a detailed spectral analysis, we obtain a necessary condition for the stability and establish the Riesz basis property as well as the spectrum determined growth condition for the system. Furthermore, when the damping is indefinite, we provide a condition on how "negative" the damping can be without destroying the exponential stability. © 2006 Elsevier B.V. All rights reserved.en_HK
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.rightsSystems & Control Letters. Copyright © Elsevier BV.en_HK
dc.subjectEigenvalue distributionsen_HK
dc.subjectIndefinite dampingen_HK
dc.subjectRayleigh beamen_HK
dc.subjectRiesz basisen_HK
dc.titleStability of a nonuniform Rayleigh beam with indefinite dampingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-6911&volume=55 no10&spage=863&epage=870&date=2006&atitle=Stability+of+a+Nonuniform+Rayleigh+Beam+with+Indefinite+Dampingen_HK
dc.identifier.emailYung, SP:spyung@hkucc.hku.hken_HK
dc.identifier.authorityYung, SP=rp00838en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.sysconle.2006.04.002en_HK
dc.identifier.scopuseid_2-s2.0-33746016345en_HK
dc.identifier.hkuros128145en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33746016345&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume55en_HK
dc.identifier.issue10en_HK
dc.identifier.spage863en_HK
dc.identifier.epage870en_HK
dc.identifier.isiWOS:000239681000011-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridWang, JM=7701333092en_HK
dc.identifier.scopusauthoridYung, SP=7006540951en_HK

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