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Stochastic stability analysis of switched genetic regulatory networks without stable subsystems

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  • Jiao, Ticao
  • Park, Ju H.
  • Zong, Guangdeng
  • Liu, Jian
  • Chen, Yu

Abstract

This paper is focused on the stability problem of a class of stochastic switched genetic regulatory networks, where the stable property of every subsystem is not imposed. By employing the stabilization effects of switching behaviors and stochastic differential equation theory, a sufficient condition for globally asymptotic stability in mean is derived. Furthermore, inspired by the idea of switching interval segmentation, an easily verifiable criterion is established by means of multiple discretized Lyapunov functions. Then, we extend the attained results to the case with time delays via the multiple discretized Lyapunov-Krasovskii functionals approach. Finally, the results obtained in the paper are illustrated by a numerical example.

Suggested Citation

  • Jiao, Ticao & Park, Ju H. & Zong, Guangdeng & Liu, Jian & Chen, Yu, 2019. "Stochastic stability analysis of switched genetic regulatory networks without stable subsystems," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 261-277.
    • Handle: RePEc:eee:apmaco:v:359:y:2019:i:c:p:261-277
    DOI: 10.1016/j.amc.2019.04.059
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    References listed on IDEAS

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