Delay-dependent exponential stability of impulsive stochastic systems with time-varying delay  

作　　者：Pei Cheng Feiqi Deng Yunjian Peng 

机构地区：[1]Systems Engineering Institute, South China University of Technology, Guangzhou 510640, P. R. China [2]School of Mathematical Science, Anhui University, Hefei 230039, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第5期799-809,共11页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China (60874114);the Fundamental Research Funds for the Central Universities, South China University of Technology (SCUT)(2009ZM0140)

摘　　要：The problem of delay-dependent exponential stability is investigated for impulsive stochastic systems with time-varying delay. Although the exponential stability of impulsive stochastic delay systems has been discussed by several authors, few works have been done on delay-dependent exponential stability of impulsive stochastic delay systems. Firstly, the Lyapunov-Krasovskii functional method combing the free-weighting matrix approach is applied to investigate this problem. Some delay-dependent mean square exponential stability criteria are derived in terms of linear matrix inequalities. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters and impulsive effects. The obtained results show that the system will stable if the impulses＇ frequency and amplitude are suitably related to the increase or decrease of the continuous flows, and impulses may be used as controllers to stabilize the underlying stochastic system. Numerical examples are given to show the effectiveness of the results.The problem of delay-dependent exponential stability is investigated for impulsive stochastic systems with time-varying delay. Although the exponential stability of impulsive stochastic delay systems has been discussed by several authors, few works have been done on delay-dependent exponential stability of impulsive stochastic delay systems. Firstly, the Lyapunov-Krasovskii functional method combing the free-weighting matrix approach is applied to investigate this problem. Some delay-dependent mean square exponential stability criteria are derived in terms of linear matrix inequalities. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters and impulsive effects. The obtained results show that the system will stable if the impulses＇ frequency and amplitude are suitably related to the increase or decrease of the continuous flows, and impulses may be used as controllers to stabilize the underlying stochastic system. Numerical examples are given to show the effectiveness of the results.

关 键 词：impulsive stochastic systems time-varying delay exponential stability linear matrix inequality （LMI）. 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] TP271[自动化与计算机技术—控制科学与工程]