Abstract: By using Lyapunov-Krasovskii functional method, the delay-independent stability and delay-dependent stability of linear neutral time-delay system is studied. Sufficient conditions of the stability and performance to bounded disturbance of the given systems are given in terms of linear matrix inequalities(LMI). Numerical examples are presented to illustrate the feasibility of the results.

Key words: neutral time-delay system, asymptotic stability, linear matrix inequality

摘要： 利用Lyapunov-Krasovskii泛函方法，对中立型时滞系统的时滞无关稳定性和时滞相关稳定性进行分析，得到了用线性矩阵不等式表示的系统稳定的一系列充分条件及其对持续有界扰动抑制的性能分析，并进行算例验证。

关键词: 中立型时滞系统, 渐近稳定性, 线性矩阵不等式(LMI)