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Method of limit differential equations for nonautonomous discontinuous systems

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Abstract

For nonautonomous differential equations with discontinuous right-hand sides solvable in the sense of Filippov, an analogue of LaSalle’s invariance principle is proved by using Lyapunov functions with derivatives of constant sign. The specifics of the construction of the corresponding limit differential inclusions is taken into account.

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Authors and Affiliations

  1. Institute of Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia

    I. A. Finogenko

Authors
  1. I. A. Finogenko
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Correspondence to I. A. Finogenko.

Additional information

Original Russian Text © I.A. Finogenko, 2016, published in Doklady Akademii Nauk, 2016, Vol. 466, No. 1, pp. 16–19.

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Finogenko, I.A. Method of limit differential equations for nonautonomous discontinuous systems. Dokl. Math. 93, 9–12 (2016). https://doi.org/10.1134/S1064562416010026

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  • DOI: https://doi.org/10.1134/S1064562416010026

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