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On Some Properties of Solutions of Switched Differential Equations

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Abstract

We consider an important class of hybrid systems, called switching systems, in which a continuous process is controlled by a discrete control between different subsystems. In the case where the switching system has a periodic solution, a lower bound for its period is obtained. For a second-order linear switched differential equation, an inequality is proved that allows one to estimate the distance between two successive zeros of its solution.

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Authors and Affiliations

  1. Matematicheskie Zametki, Moscow, 119991, Russia

    A. O. Ignatyev

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  1. A. O. Ignatyev
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Correspondence to A. O. Ignatyev.

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Translated from Matematicheskie Zametki, 2023, Vol. 114, pp. 94–103 https://doi.org/10.4213/mzm13801.

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Ignatyev, A.O. On Some Properties of Solutions of Switched Differential Equations. Math Notes 114, 77–84 (2023). https://doi.org/10.1134/S0001434623070076

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  • DOI: https://doi.org/10.1134/S0001434623070076

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