Global stability of sets for systems with impulses

• Autores: G. K. Kulev, Drumi Bainov
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 38, Fasc. 2, 1987, págs. 99-115
• Idioma: inglés
• Títulos paralelos:
  • Estabilidad global de conjuntos para sistemas con impulsos
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• Resumen

  • In the present paper the question of global stability of sets of suffciently general type with respect to systems of differential equations with impulses is considered. It is proved that the existence of piecewise continuous functions of the type of Lyapunov’s with certain properties is a sufficient condition for various types of global asymptotic stability.