Lyapunov stability and weak attraction for control systems

Authors

  • Victor H. L. Rocha Universidade Estadual Paulista.
  • Ronan A. Reis Universidade Estadual Paulista.

DOI:

https://doi.org/10.22199/issn.0717-6279-4155

Keywords:

Lyapunov stability, asymptotical stability, connected components, prolongations, control systems

Abstract

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.

Author Biographies

Victor H. L. Rocha, Universidade Estadual Paulista.

Departamento de Matemática e Computaçao.

Ronan A. Reis, Universidade Estadual Paulista.

Departamento de Matemática e Computaçao.

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Published

2022-06-01

How to Cite

[1]
V. H. L. da Rocha and R. A. dos Reis, “Lyapunov stability and weak attraction for control systems”, Proyecciones (Antofagasta, On line), vol. 41, no. 3, pp. 605-622, Jun. 2022.

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Section

Artículos