On the stabilization of periodic orbits for discrete time chaotic systems by using scalar feedback

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dc.citation.epage4442en_US
dc.citation.issueNumber12en_US
dc.citation.spage4431en_US
dc.citation.volumeNumber17en_US
dc.contributor.authorMorgül, Ö.en_US
dc.date.accessioned2016-02-08T10:11:46Z
dc.date.available2016-02-08T10:11:46Z
dc.date.issued2007en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractIn this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems by using a scalar input. We use a simple periodic delayed feedback law and present some stability results. These results show that all hyperbolic periodic orbits as well as some nonhyperbolic periodic orbits can be stabilized with the proposed method by using a scalar input, provided that some controllability or observability conditions are satisfied. The stability proofs also lead to the possible feedback gains which achieve stabilization. We will present some simulation results as well.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:11:46Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2007en
dc.identifier.doi10.1142/S0218127407020099en_US
dc.identifier.eissn1793-6551
dc.identifier.issn0218-1274
dc.identifier.urihttp://hdl.handle.net/11693/23305
dc.language.isoEnglishen_US
dc.publisherWorld Scientific Publishing Co. Pte. Ltd.en_US
dc.relation.isversionofhttps://doi.org/10.1142/S0218127407020099en_US
dc.source.titleInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineeringen_US
dc.subjectChaotic systemsen_US
dc.subjectChaos controlen_US
dc.subjectDelayed feedbacken_US
dc.subjectPyragas controlleren_US
dc.titleOn the stabilization of periodic orbits for discrete time chaotic systems by using scalar feedbacken_US
dc.typeArticleen_US

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