On the stability of delayed feedback controllers

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dc.citation.epage285en_US
dc.citation.issueNumber4en_US
dc.citation.spage278en_US
dc.citation.volumeNumber314en_US
dc.contributor.authorMorgül, Ö.en_US
dc.date.accessioned2016-02-08T10:29:35Z
dc.date.available2016-02-08T10:29:35Z
dc.date.issued2003en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe consider the stability of delayed feedback control (DFC) scheme for one-dimensional discrete time systems. We first construct a map whose fixed points correspond to the periodic orbits of the uncontrolled system. Then the stability of the DFC is analyzed as the stability of the corresponding equilibrium point of the constructed map. For each periodic orbit, we construct a characteristic polynomial whose Schur stability corresponds to the stability of DFC. By using Schur-Cohn criterion, we can find bounds on the gain of DFC to ensure stability. © 2003 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/S0375-9601(03)00866-1en_US
dc.identifier.issn0375-9601
dc.identifier.urihttp://hdl.handle.net/11693/24448
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/S0375-9601(03)00866-1en_US
dc.source.titlePhysics Letters, Section A: General, Atomic and Solid State Physicsen_US
dc.subjectChaos controlen_US
dc.subjectChaotic systemsen_US
dc.subjectDelayed feedbacken_US
dc.subjectPyragas controlleren_US
dc.subjectarticleen_US
dc.subjectchaos controlen_US
dc.subjectchaotic dynamicsen_US
dc.subjectdelayed feedback controlen_US
dc.subjectequilibriumen_US
dc.subjectfeedback systemen_US
dc.subjectmathematical analysisen_US
dc.subjectpyragas controlleren_US
dc.subjectsimulationen_US
dc.subjecttimeen_US
dc.titleOn the stability of delayed feedback controllersen_US
dc.typeArticleen_US

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