Piecewise Implicit Differential Systems

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dc.contributor.authorLopes, Bruno D. [UNESP]
dc.contributor.authorda Silva, Paulo R. [UNESP]
dc.contributor.authorTeixeira, Marco A.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Federal de São Carlos (UFSCar)
dc.date.accessioned2018-12-11T16:42:39Z
dc.date.available2018-12-11T16:42:39Z
dc.date.issued2017-12-01
dc.description.abstractIn this article we deal with non-smooth dynamical systems expressed by a piecewise first order implicit differential equations of the form x˙=1,(y˙)2={g1(x,y)ifφ(x,y)≥0g2(x,y)ifφ(x,y)≤0,where g1, g2, φ: U→ R are smooth functions and U⊆ R2 is an open set. The main concern is to study sliding modes of such systems around some typical singularities. The novelty of our approach is that some singular perturbation problems of the form x˙=f(x,y,ε),(εy˙)2=g(x,y,ε)arise when the Sotomayor–Teixeira regularization is applied with (x, y) ∈ U , ε≥ 0 , and f, g smooth in all variables.en
dc.description.affiliationIBILCE–UNESP, Rua C. Colombo, 2265
dc.description.affiliationIMECC–UNICAMP
dc.description.affiliationUFSCAR
dc.description.affiliationUnespIBILCE–UNESP, Rua C. Colombo, 2265
dc.format.extent1519-1537
dc.identifierhttp://dx.doi.org/10.1007/s10884-016-9538-2
dc.identifier.citationJournal of Dynamics and Differential Equations, v. 29, n. 4, p. 1519-1537, 2017.
dc.identifier.doi10.1007/s10884-016-9538-2
dc.identifier.file2-s2.0-84973137389.pdf
dc.identifier.issn1572-9222
dc.identifier.issn1040-7294
dc.identifier.scopus2-s2.0-84973137389
dc.identifier.urihttp://hdl.handle.net/11449/168710
dc.language.isoeng
dc.relation.ispartofJournal of Dynamics and Differential Equations
dc.relation.ispartofsjr1,208
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectImplicit differential equation
dc.subjectNon-smooth dynamical system
dc.subjectSingular perturbation
dc.subjectSliding vector fields
dc.titlePiecewise Implicit Differential Systemsen
dc.typeArtigo

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