General Decay Synchronization of Multi-Weighted Coupled Reaction-Diffusion Neural Networks with and without Time-Varying Delays

This paper investigates the decay synchronization problem of multi-weighted coupled reaction-diffusion neural networks (MWCRDNNs) with and without coupling delays. Firstly, we present the decay synchronization concept based on Ψ-type function and Ψ-type stability. Secondly, some criteria for decay synchronization of the considered MWCRDNNs are proposed by designing appropriate controllers and using several inequality techniques. Finally, a numerical example is given at the end of this paper to verify the effectiveness and correctness of our obtained results.