On singularly perturbed Filippov systems

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Data

2013-12-01

Autores

Cardin, Pedro T. [UNESP]
Da Silva, Paulo R. [UNESP]
Teixeira, Marco A.

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Editor

Cambridge University Press

Resumo

In this paper, we study singularly perturbed Filippov systems. More specifically, our main question is to know how the dynamics of Filippov systems is affected by singular perturbations. We extend the Fenichel theory developed in Fenichel (J. Differ. Equ., 1979, Vol. 31, pp. 53-98) to these systems. In addition, the study of non-smooth constrained systems is considered.

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Palavras-chave

Filippov systems, Sliding mode, Singular perturbation, Constrained systems, Impasse set

Como citar

European Journal Of Applied Mathematics. New York: Cambridge Univ Press, v. 24, p. 835-856, 2013.