一类状态依赖时滞的广义时滞微分系统稳定性判据(英文)  

Criteria On Delay- Dependent Stability for Linear Descriptor System with Delay

作　　者：王晓佳[1] 陈志强[1] 王海江[1] 杨善林[1] 

机构地区：[1]合肥工业大学过程优化与智能决策教育部重点实验室,安徽合肥230009

出　　处：《控制工程》2011年第2期198-201,共4页Control Engineering of China

基　　金：National Natural Science Foundation of China(70631003,90718037);The National 863 Key Project Grant(2009AA043403)

摘　　要：主要讨论了一类退化时滞微分系统的稳定性问题.退化时滞微分系统稳定性的研究与非奇异系统或不带时滞的退化系统的稳定性研究均有不同.为了解决所遇到的困难,提出一种判定退化时滞微分系统稳定性的新判据.首先利用可逆的线性变换将系统转化为线性中立型微分系统,然后利用线性矩阵不等式以及构造Lyapunov函数,通过讨论这类线性中立型微分系统的渐近稳定性.进而获得退化时滞微分系统渐近稳定的条件。It mainly discussed the stability problem for a class of singular delay differential systems. There are some differences between the discussion of stability of singular systems with delay and that of stability of nonsingular or singular without delay. In order to overcome the encountered new difficulties, a new definition of stability of solutions of singular systems with delay is introduced. The descriptor system as a neutral system with a linear constraint is represented. The asymptotic stability of the linear neutral systems is dis- cussed. By using the linear matrix inequalities and constructing Lyapunov function, the sufficient eonditions of asymptotically stable are obtained, therefor, the conditions of asymptotically stable of descriptor system can be obtained.

关 键 词：广义系统 中立型 渐近稳定 线性矩阵不等式 李雅普诺夫函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]