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

Detalles Bibliográficos
Autores: Rocha, Victor H. L. [UNESP], Reis, Ronan A. [UNESP]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/240196
Acceso en línea:http://dx.doi.org/10.22199/issn.0717-6279-4155
http://hdl.handle.net/11449/240196
Access Level:acceso abierto
Palabra clave:Asymptotical stability
Connected components
Control systems
Lyapunov stability
Prolongations
Descripción
Sumario: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