Stochastic exponential robust stability of interval neural networks with reaction–diffusion terms and mixed delays

The stochastic exponential robust stability is considered for a class of delayed neural networks with reaction–diffusion terms and Markov jumping parameters in this paper. It is assumed that the uncertain weight matrices belong to the given interval matrices. Some sufficient conditions for the stochastic exponential robust stability of the system are established by applying vector Lyapunov function method and M-matrix theory. The obtained results involving the effect of reaction–diffusion improve the existing conditions. Finally, two examples with numerical simulations are given to illustrate the obtained results.

► A class of neural networks with reaction–diffusion and Markov jumping parameters are studied by vector Lyapunov function.
► Some sufficient conditions for judging the stochastic exponential robust stability of the system are obtained.
► The results include reaction–diffusion and reduce the conservative of the previous results.
► Two examples with numerical simulations are given to illustrate the obtained conditions.