Piecewise linear systems with closed sliding poly-Trajectories

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.creatorDe Moraes, Jaime R. [UNESP]-
Autor(es): dc.creatorDa Silva, Paulo R. [UNESP]-
Data de aceite: dc.date.accessioned2022-02-22T00:27:49Z-
Data de disponibilização: dc.date.available2022-02-22T00:27:49Z-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2014-01-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.36045/bbms/1414091008-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/199604-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/199604-
Descrição: dc.descriptionIn this paper we study piecewise linear (PWL) vector fields F(x, y) = € F+(x, y) if x ≥ 0, F-(x, y) if x ≤ 0, where x = (x, y) € ℝ2, F+(x) = A+x + b+ and F-(x) = A-x + b-, A+ = (a+ ij ) and A- = (a- ij ) are (2 ×2) constant matrices, b+ = (b+ 1 , b+ 2 ) € R2 and b- = (b- 1 , b- 2 ) € ℝ2 are constant vectors in ℝ2. We suppose that the equilibrium points are saddle or focus in each half-plane. We establish a correspondence between the PWL vector fields and vectors formed by some of the following parameters: sets on S (crossing, sliding or escaping), kind of equilibrium (real or virtual), intersection of manifolds with S, stability and orientation of the focus. Such vectors are called configurations. We reduce the number of configurations by an equivalent relation. Besides, we analyze for which configurations the corresponding PWL vector fields can have or not closed sliding poly-Trajectories.-
Descrição: dc.descriptionDepartamento de Mateḿatica - IBILCE-UNESP, Rua C. Colombo, 2265-
Descrição: dc.descriptionDepartamento de Mateḿatica - IBILCE-UNESP, Rua C. Colombo, 2265-
Formato: dc.format653-684-
Idioma: dc.languageen-
Relação: dc.relationBulletin of the Belgian Mathematical Society - Simon Stevin-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectPiecewise linear systems-
Palavras-chave: dc.subjectPoly-Trajectories-
Palavras-chave: dc.subjectVector fields-
Título: dc.titlePiecewise linear systems with closed sliding poly-Trajectories-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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