具有区间时滞的离散时间基因调控网络稳定性研究
首发时间:2011-12-09
摘要:针对具有随机干扰和区间时滞的离散时间基因调控网络(GRNs),基于Lyapunov稳定性定理,利用改进型自由权矩阵方法和线性矩阵不等式方法,研究其时滞相关稳定问题。通过考虑时变时滞、时滞上界及它们的差三者之间的关系,同时保留增广Lyapunov-Krasovskii泛函差分中的所有有用项,获得一种更低保守性的时滞相关渐近稳定新判据。最后,给出仿真实例验证本文方法的有效性及相比已有方法的优越性。
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)
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Stability for Discrete-Time Genetic Regulatory Networks with Time-Varying Interval Delays
Abstract:Based on the Lyapunov stability theory, this paper investigates the delay-dependent stability problem of discrete-time genetic regulatory networks (GRNs) with stochastic perturbation and time-varying interval delays via employing the improved free-weighting matrix approach and the linear matrix inequality method. By considering the relationship among the time-varying delay, its upper bound and their difference, a novel delay-dependent asymptotic stability criterion is obtained with any useful terms taken into account in the difference of the augmented Lyapunov-Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and the less conservatism of the proposed scheme.
Keywords: genetic regulatory networks (GRNs) stability time-varying delay stochastic perturbation free-weighting matrix (FWM) linear matrix inequality (LMI)3
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