Stability of reaction–diffusion systems with stochastic switching by Lijun Pan, Jinde Cao, Ahmed Alsaedi

“…By means of the ergodic property of Markov chain, Dynkin formula and Fubini theorem, together with the Lyapunov direct method, some sufficient conditions are obtained to ensure that the zero solution of reaction–diffusion systems with Markov switching is almost surely exponential stable or exponentially stable in the mean square. …”
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