Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/7029
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dc.contributorDepartment of Applied Mathematics-
dc.creatorXu, GQ-
dc.creatorYung, SP-
dc.creatorLi, LK-
dc.date.accessioned2014-12-11T08:29:19Z-
dc.date.available2014-12-11T08:29:19Z-
dc.identifier.issn1292-8119-
dc.identifier.urihttp://hdl.handle.net/10397/7029-
dc.language.isoenen_US
dc.publisherEDP Sciencesen_US
dc.rights© EDP Sciences, SMAI 2006en_US
dc.rightsThe original publication is available at www.esaim-cocv.orgen_US
dc.rightsThe following article "Gen Qi Xu, Siu Pang Yung and Leong Kwan Li (2006). Stabilization of wave systems with input delay in the boundary control. ESAIM: Control, Optimisation and Calculus of Variations, 12, pp 770-785. doi:10.1051/cocv:2006021." is available at http://www.esaim-cocv.org/action/displayAbstract?fromPage=online&aid=8133878en_US
dc.subjectFeedback controlen_US
dc.subjectSpectrum analysisen_US
dc.subjectStabilizationen_US
dc.subjectVectorsen_US
dc.subjectVelocity controlen_US
dc.subjectWavesen_US
dc.titleStabilization of wave systems with input delay in the boundary controlen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage770-
dc.identifier.epage785-
dc.identifier.volume12-
dc.identifier.issue4-
dc.identifier.doi10.1051/cocv:2006021-
dcterms.abstractIn the present paper, we consider a wave system that is fixed at one end and a boundary control input possessing a partial time delay of weight (1 - μ) is applied over the other end. Using a simple boundary velocity feedback law, we show that the closed loop system generates a C₀ group of linear operators. After a spectral analysis, we show that the closed loop system is a Riesz one, that is, there is a sequence of eigenvectors and generalized eigenvectors that forms a Riesz basis for the state Hubert space. Furthermore, we show that when the weight μ > 1/2, for any time delay, we can choose a suitable feedback gain so that the closed loop system is exponentially stable. When μ = 1/2 we show that the system is at most asymptotically stable. When μ < 1/2, the system is always unstable.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationESAIM. Control, optimisation and calculus of variations, Oct. 2006, v. 12, no. 4, p. 770-785-
dcterms.isPartOfESAIM. Control, optimisation and calculus of variations-
dcterms.issued2006-10-
dc.identifier.isiWOS:000241191600007-
dc.identifier.scopus2-s2.0-33749664537-
dc.identifier.eissn1262-3377-
dc.identifier.rosgroupidr32994-
dc.description.ros2006-2007 > Academic research: refereed > Publication in refereed journal-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberOA_IR/PIRAen_US
dc.description.pubStatusPublisheden_US
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