New Delay-dependent Absolute Stability Criteria for Lurie Control Systems

这笔记为时间延期 Lurie 控制系统涉及绝对稳定性分析，非线性在一个无限的扇区和有限扇区定位了。由使用新 Lyapunov-Krasovskii 功能那把整个延期间隔切成二个子区间并且在每个子区间和介绍一些上定义不同精力功能免费重量的矩阵，某新延期依赖者要用体力地绝对的稳定性标准以严格的线性矩阵不平等(LMI ) 被介绍。获得的延期依赖者标准不比以前的保守，作为被数字例子说明。

This note is concerned with the absolute stability analysis for time-delay Lurie control systems with nonlinearity located in an infinite sector and finite one. By using a new Lyapunov-Krasovskii functional that splits the whole delay interval into two subintervals and defines a different energy function on each subinterval and introducing some free-weighting matrices, some new delay-dependent robustly absolute stability criteria are presented in terms of strict linear matrix inequalities （LMIs）. The obtained delay-dependent criteria are less conservative than previous ones, as axe illustrated by numerical examples.