奇异时滞系统的新稳定判据及其在部分元件等效电路中的应用

摘要

针对奇异时滞系统的稳定性分析问题，利用时滞分解方法，通过引入积分不等式，得出新的时滞相关稳定判据．时滞分解方法的基本思想是：将整个时滞区间等分为多个子区间，在每个子区问上定义不同的能量函数，以此构造新的Lyapunov-Krasovskii泛函．部分元件等效电路用于验证本文所提方法具有更小的保守性．%We analyze the stability of singular systems with time-delay, and derive a delay-dependent stability criterion by using the delay decomposition approach and introducing an integral inequality. In the delay decomposition approach, the entire delay interval is divided into multiple subintervals for which different energy functions are defined for building new Lyapunov-krasovskii functional. A partial element equivalent circuit（PEEC） model is used to validate the propose method; results show this method is with less conservative than other existing methods in the literature.