Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays

Abstract In this paper we study the stability for a class of stochastic bidirectional associative memory (BAM) neural networks with reaction–diffusion and mixed delays. The mixed delays considered in this paper are time-varying and distributed delays. Based on a new Lyapunov–Krasovskii functional and the Poincare inequality as well as stochastic analysis theory, a set of novel sufficient conditions are obtained to guarantee the stochastically exponential stability of the trivial solution or zero solution. The obtained results show that the reaction–diffusion term does contribute to the exponentially stabilization of the considered system. Moreover, two numerical examples are given to show the effectiveness of the theoretical results.

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