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One Form of Lyapunov Operator for Stochastic Dynamic System with Markov Parameters

Author

Listed:
  • Taras Lukashiv

Abstract

The form of weak infinitesimal operator of Lyapunov type on solutions of stochastic dynamic systems of random structure with constant delay which exist under the action of Markov perturbations is obtained.

Suggested Citation

  • Taras Lukashiv, 2016. "One Form of Lyapunov Operator for Stochastic Dynamic System with Markov Parameters," Journal of Mathematics, Hindawi, vol. 2016, pages 1-5, September.
    • Handle: RePEc:hin:jjmath:1694935
    DOI: 10.1155/2016/1694935
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    References listed on IDEAS

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    1. Mao, Xuerong, 1999. "Stability of stochastic differential equations with Markovian switching," Stochastic Processes and their Applications, Elsevier, vol. 79(1), pages 45-67, January.
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    Cited by:

    1. Taras Lukashiv & Igor V. Malyk & Venkata P. Satagopam & Petr V. Nazarov, 2025. "Stabilization of Stochastic Dynamic Systems with Markov Parameters and Concentration Point," Mathematics, MDPI, vol. 13(14), pages 1-14, July.
    2. Taras Lukashiv & Yuliia Litvinchuk & Igor V. Malyk & Anna Golebiewska & Petr V. Nazarov, 2023. "Stabilization of Stochastic Dynamical Systems of a Random Structure with Markov Switches and Poisson Perturbations," Mathematics, MDPI, vol. 11(3), pages 1-22, January.

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