Pinning synchronization of stochastic neutral memristive neural networks with reaction-diffusion terms.

Abstract

This paper investigates the pinning synchronization of stochastic neutral memristive neural networks with reaction-diffusion terms. Firstly, two novel pinning controllers, which contain both current state and past state, are designed. Subsequently, in terms of Green's theorem, inequality technology, stochastic analysis theory and pinning control technology, two easy-to-test sufficient conditions based on algebraic inequalities are obtained to ensure the mean-square asymptotic synchronization of stochastic memristive neural networks with neutral delays and reaction-diffusion terms by providing a new Lyapunov-Krasovskii functional. In addition, some existing results can be regarded as special cases of our work. Finally, illustrative examples further verify the correctness and validity of the derived results.