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

Journal of systems Engineering and Electronics 2011年第5期22卷 799-809页

作者： Pei Cheng Feiqi Deng Yunjian Peng systems Engineering Institute South China University of Technology Guangzhou 510640 P. R. China School of Mathematical Science Anhui University Hefei 230039 P. R. China

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).

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Input-to-State Stability of impulsive Hybrid systems With stochastic Effects

Input-to-State Stability of Impulsive Hybrid Systems With St...

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第24届中国控制与决策会议

作者： Zhichun Yang, Weisong Zhou Department of Mathematics Chongqing Normal University Chongqing 400047, PR China

In this paper, a class of hybrid impulsive systems with stochastic effects is considered. In light of the conventional input-to-state stability （ISS） and its various extensions （i-ISS, e-ISS and ei-ISS）, we propose novel criteria on ISS, i-ISS, e-ISS and ei-ISS in mean square and obtain some sufficient conditions ensuring the ISS properties for the impulsive stochastic systems.

关键词： impulsive stochastic systems impulsive effects Input-to-state stability (ISS).

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