A Unified Synchronization Criterion for Reaction-Diffusion Neural Networks with Time-Varying Impulsive Delays and System Delay

The paper mainly focuses on the synchronization of the coupled delayed reaction-diffusion neural networks (CDRDNNs) with delayed impulses. Firstly, the synchronization of CDRDNNs is studied by the direct error method instead of weighted average method. Then, a strict comparison principle is derived to solve the synchronization of the systems with delayed impulses. Combined with this comparison principle and the average impulsive delay (AID) method, some sufficient conditions of CDRDNNs are proposed. In addition, the sufficient criteria suggest that the impulsive delay could play a positive role for synchronization of CDRDNNs to a certain extent. Finally, two examples are provided to illustrate the validity of our established results.

Automated summary

This paper mainly focuses on the synchronization of coupled delayed reaction-diffusion neural networks with delayed impulses. The direct error method is used to study the synchronization, and a strict comparison principle is derived to solve the synchronization of systems with delayed impulses. Combined with the average impulsive delay method, some sufficient conditions for synchronization are proposed, indicating the positive role of impulsive delay. Two examples are provided to illustrate the validity of the results.