具有时变结构时滞系统渐近稳定性的新判据
New criterion of asymptotic stability for delay systems with time-varying structures and delays
摘要：
本文研究了一类由一个标量微分不等式控制的具有时变结构和时滞的微分系统零解的渐近稳定性。在比现有的条件更宽松的条件下，我们建立了一个新的广义Halanay不等式，证明了这类系统零解的渐近稳定性。将所得结果应用于时滞微分系统网络的自同步分析，得到了自同步的一个更一般的充分条件。
英文摘要：
In this paper, we study asymptotic stability of the zero solution of a class of differential systems governed by a scalar differential inequality with time-varying structures and delays. We establish a new generalized Halanay inequality for the asymptotic stability of the zero solution for such systems under more relaxed conditions than the existing ones. We also apply the theoretical results to the analysis of self synchronization in networks of delayed differential systems and obtained a more general sufficient condition for self synchronization.
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