Stability for Discrete Complex Networks with Switching and Delayed Coupling
Abstract: This paper studies the stability for discrete complex networks with switching and delayed coupling. Based on Lyapunov stability theory, the sufficient conditions are derived by using LMI method for the asymptotic stability under arbitrary switching strategy. Moreover, this paper develops the convex combination conditions for asymptotic stability of the networks and gives the way to choose switching strategy. That is to say, for the arbitrary switching rule, the system (1) can achieve the asymptotic stability when it satisfies the linear matrix inequality (3). The simulation result proves the validity of the designed switching strategy.
文章引用: 赵亚茹 , 宾红华 (2017) 具有耦合时滞和切换的离散复杂网络稳定性。 应用数学进展， 6， 259-266. doi: 10.12677/AAM.2017.63031
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