A stability result for delayed feedback controllers

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dc.citation.epage1894en_US
dc.citation.spage1889en_US
dc.contributor.authorMorgül, Ömeren_US
dc.coverage.spatialMaui, HI, USAen_US
dc.date.accessioned2016-02-08T11:55:22Z
dc.date.available2016-02-08T11:55:22Z
dc.date.issued2003en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 9-12 December 2003en_US
dc.descriptionConference Name: 42nd IEEE International Conference on Decision and Control, IEEE 2003en_US
dc.description.abstractWe consider the delayed feedback control (DFC) scheme for one dimensional discrete time systems. To analyze the stability, we construct a map whose fixed points correspond to the periodic orbits of the system to be controlled. Then the stability of the DFC is equivalent to the stability of the corresponding equilibrium point of the constructed map. We obtain a formula for the characteristic polynomial of the Jacobian of this map. Then the Schur stability of this polynomial could be used to analyze the stability of DFC. We also present some simulation results.en_US
dc.identifier.doi10.1109/CDC.2003.1272890en_US
dc.identifier.issn0191-2216
dc.identifier.urihttp://hdl.handle.net/11693/27509
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttps://www.doi.org/10.1109/CDC.2003.1272890en_US
dc.source.titleProceedings of the 42nd IEEE International Conference on Decision and Control, IEEE 2003en_US
dc.subjectChaos controlen_US
dc.subjectDelayed feedback systemen_US
dc.subjectPyragas controlleren_US
dc.subjectStabilityen_US
dc.subjectChaos theoryen_US
dc.subjectComputer simulationen_US
dc.subjectDiscrete time control systemsen_US
dc.subjectMathematical modelsen_US
dc.subjectPolynomialsen_US
dc.subjectDelayed feedback control (DFC)en_US
dc.subjectFeedback controlen_US
dc.titleA stability result for delayed feedback controllersen_US
dc.typeConference Paperen_US

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