Further Results on Delay-distribution-dependent Robust Stability Criteria for Delayed Systems  

作　　者：Jian-Jiang Yu 

机构地区：[1]School of Information Science and Technology, Yancheng Teachers University, Yancheng 224002, PRC

出　　处：《International Journal of Automation and computing》2011年第1期23-28,共6页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China (No. 60874030);Natural Science Foundation of Jiangsu Province (No. BK2010293);Jiangsu Government Scholarship for Overseas Studies;Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 09KJB510018,No. 07KJB510125)

摘　　要：This paper concerns the robust stability analysis of uncertain systems with time delays as random variables drawn from some probability distribution. The delay-distribution-dependent criteria for the exponential stability of the original system in mean square sense are achieved by Lyapunov functional method and the linear matrix inequality （LMI） technique. The proposed approach involves neither free weighting matrices nor any model transformation, and it shows that the new criteria can provide less conservative results than some existing ones. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.This paper concerns the robust stability analysis of uncertain systems with time delays as random variables drawn from some probability distribution. The delay-distribution-dependent criteria for the exponential stability of the original system in mean square sense are achieved by Lyapunov functional method and the linear matrix inequality （LMI） technique. The proposed approach involves neither free weighting matrices nor any model transformation, and it shows that the new criteria can provide less conservative results than some existing ones. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

关 键 词：Delay-distribution-dependent robust stability stochastic time delay time-varying delay linear matrix inequality （LMI）. 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273.4[自动化与计算机技术—控制科学与工程]