Markovian调制的随机脉冲泛函微分系统的指数稳定性

In this paper, the $p$th moment exponential stability of impulsive stochastic functionaldifferential systems with Markovian switching is investigated. By using the Razumikhin technique and Lyapunov function method, some new stability criteria of $p$th moment exponential stability for impulsive stochastic functionaldifferential systems with Markovian switchingare derived. Our results show that stochastic functional differential systems with Markovian switching may be exponentially stabilized by impulses. Finally, an example is also discussed to illustrate the efficiency of the results.