一类时变时滞中立微分方程的时滞相关稳定性判据

摘要

针对一类时变时滞中立型微分方程,利用Lyapunov-Krasovskii泛函方法,并结合线性矩阵不等式技巧,给出系统基于线性矩阵不等式(LMI)的全局渐近稳定的时滞相关充分条件,并通过算例与现有准则相比,本文所给条件是有效的具有较小的保守性.%The problem of asymptotic stability for a class of neutral delayed differential equations is discussed. A delay-dependent criteria of asymptotic stability condition is given in terms of the linear matrix inequality (LMI) by applying Lya-punov-Krasovskii function method. An illustrative example shows that the condition obtained in this paper is effective and less conservative than some existing results.