Synchronization of coupled reaction-diffusion stochastic neural networks with time-varying delay via delay-dependent impulsive pinning control algorithm

This paper studies the issue of the exponential synchronization for coupled reaction diffusion stochastic neural networks with time-varying delay (TVD). Two new delay dependent impulsive pinning control mechanisms are presented, where distributed and discrete TVDs are both considered. Through utilizing the Lyapunov function approach, several sufficient criteria under the developed control strategies are established. Our results display that exponential synchronization of the coupled reaction-diffusion stochastic neural networks can be realized via controlling a small number of the network nodes with delayed impulses. Then, the effectiveness and feasibility of the proposed method are demonstrated by several numerical examples. (c) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the exponential synchronization issue for coupled reaction-diffusion stochastic neural networks with time-varying delay, proposing two new delay dependent impulsive pinning control mechanisms. Several sufficient criteria are established using the Lyapunov function approach, showing that exponential synchronization can be achieved by controlling a small number of network nodes with delayed impulses. The effectiveness and feasibility of the proposed method are demonstrated through numerical examples.