控制理论与应用2012，Vol.29Issue(11)：1465-1470,6.
具有区间时滞的离散时间基因调控网络稳定性研究
Stability for discrete-time genetic regulatory networks with time-varying interval delays
摘要
Abstract
Based on the Lyapunov stability theory, this paper employs the improved free-weighting matrix (IFWM) method to investigate the delay-dependent stability problem of discrete-time genetic regulatory networks (GRNs) with stochastic perturbation and time-varying interval delays. By considering the relationship among the time-varying delay, its upper bound and their difference, and reserving all useful terms in the functional difference of Lyapunov-Krasovskii, we obtain a novel less conservative delay-dependent asymptotic stability criterion. Two numerical examples are given to demonstrate the effectiveness and the less conservatism of the proposed scheme.关键词
基因调控网络/稳定性/时变时滞/随机干扰/自由权矩阵(FWM)/线性矩阵不等式(LMI)Key words
genetic regulatory networks (GRNs)/ stability/ time-varying delay/ stochastic perturbation/ free-weighting matrix (FWM)/ linear matrix inequality (LMI)分类
信息技术与安全科学引用本文复制引用
何勇,曾进,吴敏,张传科,张艳..具有区间时滞的离散时间基因调控网络稳定性研究[J].控制理论与应用,2012,29(11):1465-1470,6.基金项目
国家杰出青年科学基金资助项目(61125301) （61125301）
国家自然科学基金资助项目(60974026). （60974026）
