Limit Cycles in Nonlinear Systems with Fractional Order Plants

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dc.authoridKavuran, Gurkan/0000-0003-2651-5005
dc.authoridTan, Nusret/0000-0002-1285-1991
dc.authoridYeroglu, Celaleddin/0000-0002-6106-2374
dc.authorwosidYeroglu, Celaleddin/ABG-9572-2020
dc.authorwosidKavuran, Gurkan/S-6935-2016
dc.authorwosidTan, Nusret/ABG-8122-2020
dc.contributor.authorAtherton, Derek P.
dc.contributor.authorTan, Nusret
dc.contributor.authorYeroglu, Celaleddin
dc.contributor.authorKavuran, Gurkan
dc.contributor.authorYuce, Ali
dc.date.accessioned2024-08-04T20:41:07Z
dc.date.available2024-08-04T20:41:07Z
dc.date.issued2014
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn recent years, there has been considerable interest in the study of feedback systems containing processes whose dynamics are best described by fractional order derivatives. Various situations have been cited for describing heat flow and aspects of bioengineering, where such models are believed to be superior. In many situations these feedback systems are not linear and information on their stability and the possibility of the existence of limit cycles is required. This paper presents new results for determining limit cycles using the approximate describing function method and an exact method when the nonlinearity is a relay characteristic.en_US
dc.identifier.doi10.3390/machines2030176
dc.identifier.endpage201en_US
dc.identifier.issn2075-1702
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84939141793en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage176en_US
dc.identifier.urihttps://doi.org/10.3390/machines2030176
dc.identifier.urihttps://hdl.handle.net/11616/96907
dc.identifier.volume2en_US
dc.identifier.wosWOS:000215737100002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMachinesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTsypkin locusen_US
dc.subjectA functionen_US
dc.subjectfractional order systemsen_US
dc.subjectnonlinear systems with fractional order plantsen_US
dc.subjectdescribing functionen_US
dc.subjectlimit cyclesen_US
dc.titleLimit Cycles in Nonlinear Systems with Fractional Order Plantsen_US
dc.typeArticleen_US

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