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A counterpart of A.M. Molchanov’s critical case for impulse systems

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Abstract

We study a counterpart of A.M. Molchanov’s critical case for systems of differential equations with impulsive action. Using the Matrosov-Vassilyev’s comparison method, we derive sufficient Lyapunov’s stability conditions. We show an example that illustrates our results.

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Authors and Affiliations

  1. UiT The Arctic University of Norway, Tromsö, Norway

    A. I. Dvirnyi

  2. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    V. I. Slyn’ko

Authors
  1. A. I. Dvirnyi
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  2. V. I. Slyn’ko
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Correspondence to A. I. Dvirnyi.

Additional information

Original Russian Text © A.I. Dvirnyi, V.I. Slyn’ko, 2015, published in Avtomatika i Telemekhanika, 2015, No. 6, pp. 3–17.

This paper was recommended for publication by E.Ya. Rubinovich, a member of the Editorial Board

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Dvirnyi, A.I., Slyn’ko, V.I. A counterpart of A.M. Molchanov’s critical case for impulse systems. Autom Remote Control 76, 945–956 (2015). https://doi.org/10.1134/S0005117915060016

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