title: Stochastic stability of genetic regulatory networks with a finite set delay characterization.
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.
authors: School of Information Science and Technology, Donghua University, Shanghai 201620, China. zwb850506@126.com
authors: Wenbing
authors: W
authors: Zhang
authors: Yang
authors: Y
authors: Tang
authors: Jian-an
authors: JA
authors: Fang
authors: Xiaotai
authors: X
authors: Wu
mesh_terms: D053263:Gene Regulatory Networks; D008957:Models, Genetic; D013269:Stochastic Processes