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具有耦合时滞和切换的离散复杂网络稳定性

Stability for Discrete Complex Networks with Switching and Delayed Coupling
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摘要 文章研究具有耦合时滞和切换的离散复杂网络稳定性。在任意切换信号作用下,利用Lyapunov稳定性理论,推导出以线性矩阵不等式表示的网络渐近稳定的充分性条件,给出了网络渐近稳定的凸组合条件。即当系统(1)满足线性矩阵不等式(3)时,对于任意的切换,网络可达到渐近稳定。仿真实例证明了所设计方案的有效性。 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.
作者 赵亚茹 宾红华
机构地区 集美大学理学院
出处 《应用数学进展》 2017年第3期259-266,共8页 Advances in Applied Mathematics
基金 福建省自然科学基金会(2012J06001) 国家自然科学基金(11361010)。
关键词 切换系统 耦合时滞 线性矩阵不等式 稳定性
分类号 TP1 [自动化与计算机技术—控制理论与控制工程]
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应用数学进展
2017年 第3期

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