Publicação: Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
Carregando...
Arquivos
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Siam Publications
Tipo
Artigo
Direito de acesso
Acesso aberto
Resumo
In this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems theory around typical singularities. We also establish an interaction between nonsmooth systems and geometric singular perturbation theory. Such systems are represented by discontinuous vector fields on R(l), l >= 2, where their discontinuity set is a codimension one algebraic variety. By means of a regularization process proceeded by a blow-up technique we are able to bring about some results that bridge the space between discontinuous systems and singularly perturbed smooth systems. We also present an analysis of a subclass of discontinuous vector fields that present transient behavior in the 2-dimensional case, and we dedicate a section to providing sufficient conditions in order for our systems to have local asymptotic stability.
Descrição
Palavras-chave
Regularization, Vector fields, Singular perturbation, Discontinuous vector fields, Sliding vector field
Idioma
Inglês
Como citar
Siam Journal on Applied Dynamical Systems. Philadelphia: Siam Publications, v. 8, n. 1, p. 508-526, 2009.
