Stability of Stochastic Reaction‐Diffusion Systems with Markovian Switching and Impulsive Perturbations
Yanbo Li, Yonggui Kao · Mathematical Problems in Engineering · 2012
This paper is devoted to investigating mean square stability of a class of stochastic reaction‐diffusion systems with Markovian switching and impulsive perturbations. Based on Lyapunov functions and stochastic analysis method, some new criteria are established. Moreover, a class of semilinear stochastic impulsive reaction‐diffusion differential equations with Markovian switching is discussed and a numerical example is presented to show the effectiveness of the obtained results.