研究具有时变时滞和扇区有界非线性的中立型系统的绝对稳定性问题.根据时变时滞分段分析思想,构造一个新的Lyapunov-Krasovskii泛函,得到了一些保守性更小的基于线性矩阵不等式的时滞相关绝对稳定性判据.采用凸组合方法,可以避免忽略Lyapunov-Krasovskii泛函微分中的有用项.数值算例表明了所提出方法的有效性. The problem of the absolute stability of neutral systems with time-varying delays and sector-bounded nonlinearities is studied. According to the idea of ​​piecewise time-varying delay analysis, a new Lyapunov-Krasovskii functional is constructed and some conservative The stability criteria based on linear matrix inequalities for delay-dependent absolute stability can be obtained.The convex combination method can avoid neglecting useful items in the Lyapunov-Krasovskii functional differential.The numerical examples show the effectiveness of the proposed method.