Lyapunov stability for discontinuous systems

dc.creatorSantos, Iguer
dc.date2020-05-15
dc.date.accessioned2023-09-27T19:35:22Z
dc.date.available2023-09-27T19:35:22Z
dc.identifierhttps://periodicos.ufsm.br/cienciaenatura/article/view/42344
dc.identifier10.5902/2179460X42344
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8939924
dc.descriptionThe present work studies the stability analysis of equilibrium of ordinary differential equations with the discontinuous right side, also called discontinuous differential equations, using the notion of Carathéodory solution for differential equations. This way, it is studied the stability of equilibrium in the Lyapunov sense for discontinuous systems through nonsmooth Lyapunov functions. Then two existing Lyapunov theorems are obtained. The results established refer to systems determined by nonautonomous differential equations.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidade Federal de Santa Mariaen-US
dc.relationhttps://periodicos.ufsm.br/cienciaenatura/article/view/42344/pdf
dc.rightsCopyright (c) 2020 Ciência e Naturapt-BR
dc.sourceCiência e Natura; Vol. 42 (2020): 40 YEARS - Anniversary Edition; e17en-US
dc.sourceCiência e Natura; v. 42 (2020): CIÊNCIA E NATURA: Edição Comemorativa – 40 ANOS; e17pt-BR
dc.source2179-460X
dc.source0100-8307
dc.titleLyapunov stability for discontinuous systemsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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