Lyapunov stability and weak attraction for control systems

• Rocha, Victor Hugo Lourenço da ^[1] ; Reis, Ronan Antonio dos ^[1]
  1. [1] Universidade Estadual Paulista

     Universidade Estadual Paulista

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 3, 2022, págs. 605-622
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-4155
• Enlaces
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• Resumen

  • 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.

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