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Interval stability of linear impulsive systems

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Abstract

Based on the direct Lyapunov method, sufficient conditions of the interval stability of linear systems of differential equations with impulse effect are obtained. In addition, the problem of interval stability is reduced to the problem of consistency a system of matrix inequalities and to the fact that algebraic inequalities hold.

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Authors and Affiliations

  1. B. Khmel’nitskii Cherkasy National University, bul’var Shevchenko, 81, Cherkasy, Cherkas’ka oblast, 18000, Ukraine

    V. S. Denisenko

  2. S.P. Timoshenko Institute of Mechanics of NAS of Ukraine, ul. P. Nesterova 3, Kiev, 03057, Ukraine

    V. I. Slyn’ko

Authors
  1. V. S. Denisenko
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  2. V. I. Slyn’ko
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Correspondence to V. S. Denisenko.

Additional information

Original Russian Text © V.S. Denisenko, V.I. Slyn’ko, 2015, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2015, No. 1, pp. 3–14.

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Denisenko, V.S., Slyn’ko, V.I. Interval stability of linear impulsive systems. J. Comput. Syst. Sci. Int. 54, 1–12 (2015). https://doi.org/10.1134/S1064230714050050

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