Necessary and sufficient conditions for global asymptotic stability of a class of bimodal systems with discontinuous vector fields

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dc.contributor.authorOner, Isil
dc.contributor.authorEldem, Vasfi
dc.date.accessioned2025-10-29T11:16:23Z
dc.date.issued2018
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractIn this article, we derive the necessary and sufficient conditions for global asymptotic stability of a class of bimodal piecewise linear systems in R-3, where first mode has complex eigenvalues and the second mode has only real eigenvalues. The vector field is allowed to be discontinuous on the switching plane. The effect of discontinuity is illustrated by two examples.
dc.identifier.doi10.1093/imamci/dnx018
dc.identifier.endpage1155
dc.identifier.issn0265-0754
dc.identifier.issn1471-6887
dc.identifier.issue4
dc.identifier.orcid0000-0002-4283-4033
dc.identifier.scopus2-s2.0-85116678267
dc.identifier.scopusqualityQ2
dc.identifier.startpage1129
dc.identifier.urihttps://doi.org/10.1093/imamci/dnx018
dc.identifier.urihttps://hdl.handle.net/20.500.14854/7543
dc.identifier.volume35
dc.identifier.wosWOS:000455323800005
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherOxford Univ Press
dc.relation.ispartofIma Journal of Mathematical Control and Information
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectpiecewise linear systems
dc.subjectbimodal systems
dc.subjectstability
dc.subjectfix point
dc.subjectdiscontinuous vector field
dc.titleNecessary and sufficient conditions for global asymptotic stability of a class of bimodal systems with discontinuous vector fields
dc.typeArticle

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