Lyapunov stability and weak attraction for control systems

In this paper we deal with Lyapunov stability and weak attraction for control systems. We give characterizations of the stability and asymptotical stability of a compact set by means of its components. We also study the asymptotical stability of the prolongation of a compact weak attractor

Detalhes bibliográficos
Autores: Rocha, Victor H. L. [UNESP], Reis, Ronan A. [UNESP]
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Recursos:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/240196
Acesso em linha:http://dx.doi.org/10.22199/issn.0717-6279-4155
http://hdl.handle.net/11449/240196
Access Level:acceso abierto
Palavra-chave:Asymptotical stability
Connected components
Control systems
Lyapunov stability
Prolongations
Descrição
Resumo:In this paper we deal with Lyapunov stability and weak attraction for control systems. We give characterizations of the stability and asymptotical stability of a compact set by means of its components. We also study the asymptotical stability of the prolongation of a compact weak attractor