一类具有时变时滞的中立型系统的稳定性分析  

Stability Analysis and Controller Design for a System with Time Delays

作　　者：周阿敏[1] 章春国[1] 邱金学[1] 

机构地区：[1]杭州电子科技大学数学系,杭州310018

出　　处：《数学理论与应用》2012年第4期42-51,共10页Mathematical Theory and Applications

摘　　要：本文研究一类具有状态时滞和输入时滞的时变时滞线性中立型系统.首先,通过选取合适的Lya-punov-Krasovskii泛函,应用LMI方法和Lyapunov-Krasovskii稳定性定理对时滞相关的系统进行稳定性分析,并设计了相应的控制器.改进了时不变时滞线性系统方面的一些结果.最后用实例验证所得到结果.This paper studies the linear neutral system with time - delays. Firstly, the stability of the system with time delays is studied by choosing a proper Lyapunov - Krasovskii functional, applying the Linear Matrix Inequality （ LMI）, and using the Lyapunov - Krasovskii stabilization theorem. And then a controller related to the system is designed. Some results on the linear neutral systems without time -delays are improved by our results. In the last part a numerical example is given to illustrate our theory.

关 键 词：时滞系统 Lyapunov—Krasovskii泛函鲁棒稳定性线性矩阵不等式(LMI) 反馈控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]