具有区间时滞的离散时间基因调控网络稳定性研究

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.%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.