Delay-dependent absolute stability criterion for Lurie system with probabilistic interval time-varying delay  

作　　者：Mingxiang XUE Shumin FEI Tao LI Juntao PAN 

机构地区：[1]Key Laboratory of Measurement and Control of CSE of Ministry of Education,Southeast University [2]School of Mathematical Sciences,Anhui University [3]School of Automation Engineering,Nanjing University of Aeronautics and Astronautics

出　　处：《控制理论与应用（英文版）》2012年第4期477-482,共6页

基　　金：supported by the National Natural Science Foundation of China(Nos.60835001,60875035,60904023,61004032,61004064, 11071001);the Special Foundation of China Postdoctoral Science Foundation Projects(No.201003546);the Doctoral Fund of Ministry of Education of China(No.20093401110001);the Major Program of Educational Commission of Anhui Province of China(No.KJ2010ZD02);the Program of Natural Science Research in Anhui Universities(No.KJ2011A020);the 211 Project of Anhui University(No.KJQN1001)

摘　　要：In this paper, the absolute stability of Lurie control system with probabilistic time-varying delay is studied. By using a new extended Lyapunov-Krasovskii functional, an improved stability criterion based on LMIs is presented and its solvability heavily depends on the sizes of both the delay range and its derivatives, which has wider application fields than those present results. The efficiency and reduced conservatism of the presented results can be demonstrated by two numerical examples with giving some comparing results.In this paper, the absolute stability of Lurie control system with probabilistic time-varying delay is studied. By using a new extended Lyapunov-Krasovskii functional, an improved stability criterion based on LMIs is presented and its solvability heavily depends on the sizes of both the delay range and its derivatives, which has wider application fields than those present results. The efficiency and reduced conservatism of the presented results can be demonstrated by two numerical examples with giving some comparing results.

关 键 词：Lurie control system Absolute stability Probabilistic 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] TP18[自动化与计算机技术—控制科学与工程]