区间时变时滞奇异系统稳定性准则改进  

Improved stability criteria for singular systems with interval time-varying delay

作　　者：焦建民[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《辽宁工程技术大学学报（自然科学版）》2013年第1期73-76,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(11071193);陕西省教育厅科研计划资助项目(11JK0509);宝鸡文理学院重点科研资助项目(ZK11044)

摘　　要：为解决区间时变时滞奇异系统的稳定性问题,基于Lyapunov稳定性理论,通过采用新构造的Lyapunov泛函和线性矩阵不等式方法,以线性矩阵不等式形式给出了使得系统满足正则、无脉冲且稳定的时滞相关型准则的改进结果.研究结果表明:所给准则可有效判定区间时变时滞奇异系统的稳定性,它比已有一些结果包含更少的矩阵变量,且具有较小的保守性,同时通过数值实例进行了验证.In order to overcome the problem of stability for singular systems with interval time-varying delay, based on Lyapunov stability theory, using a new constructed Lyapunov function and linear matrix inequality （LMI） approach, a new improved delay-dependent stability criterion is presented to ensure the systems to be regular, impulse free and stable in terms of LMIs. The result shows that it can be used to effectively judge the stability of singular systems with interval time-varying delay. Moreover, it has fewer matrix variables, and less conservatism than some existing ones.

关 键 词：奇异系统 区间时变时滞 稳定性 时滞相关 LYAPUNOV泛函 线性矩阵不等式 矩阵等式 凸优化 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]