On the stabilization of a flexible beam with a tip mass

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dc.citation.epage1986en_US
dc.citation.issueNumber6en_US
dc.citation.spage1962en_US
dc.citation.volumeNumber36en_US
dc.contributor.authorConrad, F.en_US
dc.contributor.authorMorgül, Ö.en_US
dc.date.accessioned2016-02-08T10:42:57Z
dc.date.available2016-02-08T10:42:57Z
dc.date.issued1998-11en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe study the stability of a flexible beam that is clamped at one end and free at the other; a mass is also attached to the free end of the beam. To stabilize this system we apply a boundary control force at the free end of the beam. We prove that the closed-loop system is well-posed and is exponentially stable. We then analyze the spectrum of the system for a special case and prove that the spectrum determines the exponential decay rate for the considered case.en_US
dc.identifier.doi10.1137/S0363012996302366en_US
dc.identifier.issn0363-0129
dc.identifier.urihttp://hdl.handle.net/11693/25324
dc.language.isoEnglishen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.relation.isversionofhttps://doi.org/10.1137/S0363012996302366en_US
dc.source.titleSIAM Journal on Control and Optimizationen_US
dc.subjectBoundary controlen_US
dc.subjectFlexible structuresen_US
dc.subjectInfinite dimensional systemsen_US
dc.subjectSemigroup theoryen_US
dc.subjectStabilityen_US
dc.subjectClosed loop control systemsen_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectEquations of motionen_US
dc.subjectFeedbacken_US
dc.subjectMathematical modelsen_US
dc.subjectStabilizationen_US
dc.subjectBoundary controlen_US
dc.subjectFlexible beamen_US
dc.subjectInfinite dimensional systemsen_US
dc.subjectSemigroup theoryen_US
dc.subjectTip massen_US
dc.subjectAsymptotic stabilityen_US
dc.titleOn the stabilization of a flexible beam with a tip massen_US
dc.typeArticleen_US

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