On the asymptotic stability of systems with impulses by the direct method of Lyapunov

• G.K. Gulev ^[1] ; D.D. Bainov ^[1]
  1. [1] University of Plovdiv, ‘Paissii Hilendarski’, Bulgaria
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 7, Nº 3, 1988, págs. 123-133
• Idioma: inglés
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• Resumen

  • In this paper the asymptotic and globally asymptotic stability of the zero solution of systems with impulses is investigated. For this purpose piecewise continuous auxiliary functions are used which are an analogue to Lyapunov's functions. The theorem of Marachkov on the asymptotic stability of systems without impulses is generalized. The results obtained are formulated in four theorems.