不确定时变时滞退化系统的新鲁棒稳定性判据(英文)  

Improved Delay-dependent Robust Stability Criteria for Descriptor Systems with Uncertain Time-varying Delay

作　　者：程媛媛[1] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2012年第4期796-803,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (11071001);Doctoral Fund of Ministry of Education of China (20093401110001);Major Program of Educational Commission of Anhui Province of China (KJ2010ZD02);the 211 Project of Anhui University (KJQN1001)

摘　　要：介绍了不确定时变时滞退化系统的一种新的鲁棒稳定性判据,该判据的提出利用适当的Lyapunov-Krasovskii函数方法,由一组线性矩阵不等式表示出来,判据可借助Matlab软件中LMI工具箱中得以验证.最后,数值实例证明了方法的有效性和优势.This paper presents a new result of stability analysis for uncertain descriptor systems with time-varying delay, new delay-dependent robust stability criterion of uncertain time-delay de- scriptor systems is proposed by exploiting appropriate Lyapunov-Krasovskii functional candidate. This criterion is expressed by a set of linear matrix inequalities, which can be tested by using the LMI toolbox in Matlab. Finally, illustrative examples demonstrate the effectiveness and the advan- tage of the proposed method.

关 键 词：依赖时滞 鲁棒稳定性 线性矩阵不等式 不确定时滞退化系统 

分 类 号：O175[理学—数学]