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Article: Stabilization of Timoshenko beam by means of pointwise controls

TitleStabilization of Timoshenko beam by means of pointwise controls
Authors
KeywordsGeneralized Eigenfunction System
Pointwise Feedback Control
Riesz Basis
Timoshenko Beam
Issue Date2003
PublisherEDP Sciences. The Journal's web site is located at http://www.edpsciences.org
Citation
ESAIM - Control, Optimisation And Calculus Of Variations, 2003 n. 9, p. 579-600 How to Cite?
AbstractWe intend to conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-Basis-Property, spectrum-determined-growth- condition, energy decay rate and various stabilities for the beams. One major difficulty of the present problem is the non-simplicity of the eigenvalues. In fact, we shall indicate in this paper situations where the multiplicity of the eigenvalues is at least two. We build all the above-mentioned results from an effective asymptotic analysis on both the eigenvalues and the eigenfunctions, and conclude with the Riesz-Basis-Property and the spectrum-determined-growth- condition. Finally, these results are used to examine the stability effects on the system by the location of the pointwise control relative to the length of the whole beam. © EDP Sciences, SMAI 2003.
Persistent Identifierhttp://hdl.handle.net/10722/156149
ISSN
2015 Impact Factor: 1.112
2015 SCImago Journal Rankings: 1.184
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorXu, GQen_US
dc.contributor.authorYung, SPen_US
dc.date.accessioned2012-08-08T08:40:36Z-
dc.date.available2012-08-08T08:40:36Z-
dc.date.issued2003en_US
dc.identifier.citationESAIM - Control, Optimisation And Calculus Of Variations, 2003 n. 9, p. 579-600en_US
dc.identifier.issn1292-8119en_US
dc.identifier.urihttp://hdl.handle.net/10722/156149-
dc.description.abstractWe intend to conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-Basis-Property, spectrum-determined-growth- condition, energy decay rate and various stabilities for the beams. One major difficulty of the present problem is the non-simplicity of the eigenvalues. In fact, we shall indicate in this paper situations where the multiplicity of the eigenvalues is at least two. We build all the above-mentioned results from an effective asymptotic analysis on both the eigenvalues and the eigenfunctions, and conclude with the Riesz-Basis-Property and the spectrum-determined-growth- condition. Finally, these results are used to examine the stability effects on the system by the location of the pointwise control relative to the length of the whole beam. © EDP Sciences, SMAI 2003.en_US
dc.languageengen_US
dc.publisherEDP Sciences. The Journal's web site is located at http://www.edpsciences.orgen_US
dc.relation.ispartofESAIM - Control, Optimisation and Calculus of Variationsen_US
dc.subjectGeneralized Eigenfunction Systemen_US
dc.subjectPointwise Feedback Controlen_US
dc.subjectRiesz Basisen_US
dc.subjectTimoshenko Beamen_US
dc.titleStabilization of Timoshenko beam by means of pointwise controlsen_US
dc.typeArticleen_US
dc.identifier.emailYung, SP:spyung@hkucc.hku.hken_US
dc.identifier.authorityYung, SP=rp00838en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1051/cocv:2003028en_US
dc.identifier.scopuseid_2-s2.0-27844583649en_US
dc.identifier.hkuros88943-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-27844583649&selection=ref&src=s&origin=recordpageen_US
dc.identifier.issue9en_US
dc.identifier.spage579en_US
dc.identifier.epage600en_US
dc.identifier.isiWOS:000184559000008-
dc.publisher.placeFranceen_US
dc.identifier.scopusauthoridXu, GQ=7404263948en_US
dc.identifier.scopusauthoridYung, SP=7006540951en_US

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