An exponential stability result for the wave equation

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dc.citation.epage735en_US
dc.citation.issueNumber4en_US
dc.citation.spage731en_US
dc.citation.volumeNumber38en_US
dc.contributor.authorMorgül, Ö.en_US
dc.date.accessioned2016-02-08T10:33:28Z
dc.date.available2016-02-08T10:33:28Z
dc.date.issued2002en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize this system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is a proper rational function which consists of a strictly positive real function and some poles on the imaginary axis. We then show that under some conditions the closed-loop system is exponentially stable. © 2002 Published by Elsevier Ltd.en_US
dc.identifier.doi10.1016/S0005-1098(01)00252-7en_US
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/11693/24722
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/S0005-1098(01)00252-7en_US
dc.source.titleAutomaticaen_US
dc.subjectControl theoryen_US
dc.subjectDistributed parameter systemsen_US
dc.subjectBoundary conditionsen_US
dc.subjectClosed loop control systemsen_US
dc.subjectControl equipmenten_US
dc.subjectLinear equationsen_US
dc.subjectStabilityen_US
dc.subjectTransfer functionsen_US
dc.subjectWave equationsen_US
dc.subjectDynamic boundary controlleren_US
dc.subjectDistributed parameter control systemsen_US
dc.titleAn exponential stability result for the wave equationen_US
dc.typeArticleen_US

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