New criteria on delayed state feedback stabilization for stochastic systems with time-varying delay  

作　　者：Shiguo Peng 

机构地区：[1]School of Automation,Guangdong University of Technology

出　　处：《Journal of Systems Engineering and Electronics》2013年第3期519-527,共9页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(10971232);the Natural Science Foundation of Guangdong Province(10151009001000039;8351009001000002)

摘　　要：The problems of robust exponential stability in mean square and delayed state feedback stabilization for uncertain stochastic systems with time-varying delay are studied. By using Jensen＇s integral inequality and combining with the free weighting matrix approach, new delay-dependent stability conditions and delayed state feedback stabilization criteria are obtained in terms of linear matrix inequalities. Meanwhile, the proposed delayed state feedback stabilization criteria are more convenient in application than the existing ones since fewer tuning parameters are involved. Numerical examples are given to illustrate the effectiveness of the proposed methods.The problems of robust exponential stability in mean square and delayed state feedback stabilization for uncertain stochastic systems with time-varying delay are studied. By using Jensen＇s integral inequality and combining with the free weighting matrix approach, new delay-dependent stability conditions and delayed state feedback stabilization criteria are obtained in terms of linear matrix inequalities. Meanwhile, the proposed delayed state feedback stabilization criteria are more convenient in application than the existing ones since fewer tuning parameters are involved. Numerical examples are given to illustrate the effectiveness of the proposed methods.

关 键 词：stochastic system time-varying delay delay-depen- dent exponential stability delayed state feedback stabilization. 

分 类 号：O231[理学—运筹学与控制论]