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dc.contributor.authorEldem, Vasfi
dc.contributor.authorŞahan, Gökhan
dc.date.accessioned2017-07-25T06:47:32Z
dc.date.available2017-07-25T06:47:32Z
dc.date.issued2016-10-01
dc.identifier.citationEldem, V., and Şahan, G. (2016). The effect of coupling conditions on the stability of bimodal systems in R3. Systems and Control Letters, 96, 141-150. doi:10.1016/j.sysconle.2016.07.010en_US
dc.identifier.issn0167-6911
dc.identifier.urihttps://doi.org/10.1016/j.sysconle.2016.07.010
dc.identifier.urihttp://hdl.handle.net/11147/6007
dc.description.abstractThis paper investigates the global asymptotic stability of a class of bimodal piecewise linear systems in R3. The approach taken allows the vector field to be discontinuous on the switching plane. In this framework, verifiable necessary and sufficient conditions are proposed for global asymptotic stability of bimodal systems being considered. It is further shown that the way the subsystems are coupled on the switching plane plays a crucial role on global asymptotic stability. Along this line, it is demonstrated that a constant (which is called the coupling constant in the paper) can be changed without changing the eigenvalues of subsystems and this change can make bimodal system stable or unstable.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkeyen_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.isversionof10.1016/j.sysconle.2016.07.010en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectBimodal systemsen_US
dc.subjectCoupling conditionen_US
dc.subjectDiscontinuous vector fielden_US
dc.subjectPiecewise linear systemsen_US
dc.titleThe effect of coupling conditions on the stability of bimodal systems in R3en_US
dc.typearticleen_US
dc.contributor.authorIDTR105297en_US
dc.contributor.iztechauthorŞahan, Gökhan
dc.relation.journalSystems and Control Lettersen_US
dc.contributor.departmentİYTE, Fen Fakültesi, Matematik Bölümüen_US
dc.identifier.volume96en_US
dc.identifier.startpage141en_US
dc.identifier.endpage150en_US
dc.identifier.wosWOS:000384788100020
dc.identifier.scopusSCOPUS:2-s2.0-84990978723
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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