线性时滞广义系统的时滞相关稳定性新判据  

New Criteria on Delay-Dependent Stability for Linear Descriptor System with Delay

作　　者：张先明[1] 吴敏[1] 何勇[1] 

机构地区：[1]中南大学信息科学与工程学院

出　　处：《工程数学学报》2005年第6期983-988,共6页Chinese Journal of Engineering Mathematics

基　　金：国家杰出青年基金(60425310)资助教育部青年教师奖计划资助(教人[2002]5号).

摘　　要：提出一种新的方法——积分不等式方法讨论线性时滞广义系统的时滞相关稳定性。首先将广义系统转化为一个带约束条件的中立型系统,然后利用基于二次型项的积分不等式,采用Lyapunov—Krasovskii泛函方法,获得了系统稳定的、基于线性矩阵不等式(LMI)的时滞相关充分条件。实例表明,本文方法得到的结论较已有文献具有较小的保守性。A new method, called Integral Inequality Method （IIM）, is proposed in this paper to study the delay-dependent stability of the linear descriptor system with delay. First, the descriptor system is represented as a neutral system with a linear constraint. Then, the integral inequality in combination with the Lyapunov-Krasovskii functional method is used to derive a new delay-dependent sufficient condition, which can guarantee that the descriptor system with delay is asymptotically stable. Finally, some examples are given to illustrate that the new result is less conservativeness than the existing ones.

关 键 词：广义系统 时滞相关 渐近稳定 积分不等式 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]