Research on synchronization of chaotic delayed neural networks with stochastic perturbation using impulsive control method

•Impulsive controller is given for synchronization of delayed NNs with stochastic perturbation.•The impulsive controller is given via LMI technique.•Time delays may be nondifferentiable under stochastic NNs.

In this paper, an impulsive controller is designed to achieve the exponential synchronization of chaotic delayed neural networks with stochastic perturbation. By using the impulsive delay differential inequality technique that was established in recent publications, several sufficient conditions ensuring the exponential synchronization of chaotic delayed networks are derived, which can be easily checked by LMI Control Toolbox in Matlab. A numerical example and its simulation is given to demonstrate the effectiveness and advantage of the theory results.