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Stability of a dynamical system with semi-Markov switchings under conditions of diffusion approximation

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We obtain sufficient conditions for the stability of a dynamical system in a semi-Markov medium under the conditions of diffusion approximation by using asymptotic properties of the compensation operator for a semi-Markov process and properties of the Lyapunov function for an averaged system.

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Authors and Affiliations

  1. “L’vivs’ka Politekhnika” National University, Lviv

    Ya. M. Chabanyuk

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  1. Ya. M. Chabanyuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 9, pp. 1290–1296, September, 2007.

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Chabanyuk, Y.M. Stability of a dynamical system with semi-Markov switchings under conditions of diffusion approximation. Ukr Math J 59, 1441–1452 (2007). https://doi.org/10.1007/s11253-007-0097-x

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  • DOI: https://doi.org/10.1007/s11253-007-0097-x

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