On singularly perturbed Filippov systems

Cardin, Pedro T.; Da Silva, Paulo R.; Teixeira, Marco A.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/112151

Title:

On singularly perturbed Filippov systems

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)

ISSN:

0956-7925

Sponsorship:

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Sponsorship Process Number:

FAPESP: 10/18624-2
FP7-PEOPLE-2012-IRSES-316338

Abstract:

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.

Issue Date:

1-Dec-2013

Citation:

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

Time Duration:

835-856

Publisher:

Cambridge University Press

Keywords:

Filippov systems
Sliding mode
Singular perturbation
Constrained systems
Impasse set

Source:

http://dx.doi.org/10.1017/S0956792513000211

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/112151

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