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Stochastic stability of genetic regulatory networks with a finite set delay characterization
Wenbing Zhang1, Yang Tang, Jian-an Fang
1School of Information Science and Technology, Donghua University, Shanghai 201620, China. zwb850506@126.com
Abstract:
In this paper, the delay-distribution-dependent stability is derived for the stochastic genetic regulatory networks (GRNs) with a finite set delay characterization and interval parameter uncertainties. One important feature of the obtained results here is that the time-varying delays are assumed to be random and the sum of the occurrence probabilities of the delays is assumed to be 1. By employing a new Lyapunov-Krasovskii functional dependent on auxiliary delay parameters which allow the time-varying delays to be not differentiable, less conservative mean-square stochastic stability criteria are obtained. Finally, two examples are given to illustrate the effectiveness and superiority of the derived results.
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