Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses | Zendy

Fengqi Yao | Zendy; Feiqi Deng | Zendy; Pei Cheng | Zendy

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Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses

Author(s) -

Fengqi Yao,

Feiqi Deng,

Pei Cheng

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/548712

Subject(s) - mathematics , exponential stability , piecewise , stability (learning theory) , mean square , control theory (sociology) , exponential function , impulse (physics) , lyapunov function , mathematical analysis , nonlinear system , computer science , control (management) , physics , quantum mechanics , artificial intelligence , machine learning

A class of generalized impulsive stochastic functional differential systems with delayed impulses is considered. By employing piecewise continuous Lyapunov functions and the Razumikhin techniques, several criteria on the exponential stability and uniform stability in terms of two measures for the mentioned systems are obtained, which show that unstable stochastic functional differential systems may be stabilized by appropriate delayed impulses. Based on the stability results, delayed impulsive controllers which mean square exponentially stabilize linear stochastic delay systems are proposed. Finally, numerical examples are given to verify the effectiveness and advantages of our results

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