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Stability of a Dynamical System with Semi-Markov Switchings under Conditions of Stability of the Averaged System

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Abstract

We establish additional stability conditions on the rate of a dynamical system with semi-Markov switchings and on the Lyapunov function for the averaged system.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. S. Korolyuk

  2. “L'vivs'ka Politekhnika” University, Lviv

    Ya. M. Chabanyuk

Authors
  1. V. S. Korolyuk
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  2. Ya. M. Chabanyuk
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Korolyuk, V.S., Chabanyuk, Y.M. Stability of a Dynamical System with Semi-Markov Switchings under Conditions of Stability of the Averaged System. Ukrainian Mathematical Journal 54, 239–252 (2002). https://doi.org/10.1023/A:1020186529240

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