Abstract

This paper is concerned with the pth moment exponential stability of impulsive stochastic functional differential systems (ISFDSs) with Markovian switching. By using the Lyapunov function method and Razumikhin technique with stochastic version as well as stochastic analysis theory, some new stability criteria of pth moment exponential stability for ISFDSs with Markovian switching are obtained. Main results show that ISFDSs with Markovian switching may be exponentially stabilized by impulses. An example is also discussed to illustrate the efficiency of the results.

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