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Strong stability of impulsive systems

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Abstract

The strong stability of the zero solution of impulsive systems with impulses at fixed moments of time is investigated. It is proved that the existence of piecewise continuous functions with certain properties is a necessary and sufficient condition for the strong stability of the zero solution of such systems. By using differential inequalities for piecewise continuous functions, sufficient conditions for the strong stability of the zero solution are found.

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Authors and Affiliations

  1. University of Plovdiv, Bulgaria

    G. K. Kulev & D. D. Bainov

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  1. G. K. Kulev
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  2. D. D. Bainov
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Kulev, G.K., Bainov, D.D. Strong stability of impulsive systems. Int J Theor Phys 27, 745–755 (1988). https://doi.org/10.1007/BF00669319

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  • DOI: https://doi.org/10.1007/BF00669319

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