Stochastic stability analysis of switched genetic regulatory networks without stable subsystems

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

Applied Mathematics and Computation, 2019, vol. 359, issue C, 261-277

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.

Keywords: Stochastic switched genetic regulatory network (SSGRN); Globally asymptotic stability; Dwell time; Switching interval segmentation (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:261-277

DOI: 10.1016/j.amc.2019.04.059

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