General Decay Synchronization and H∞ Synchronization of Multi-weighted Coupled Reaction-diffusion Neural Networks

This paper investigates the general decay synchronization and general decay H∞ synchronization problems of multi-weighted coupled reaction-diffusion neural networks (MWCRDNNs) with and without coupling delays. Firstly, we present the general decay synchronization and general decay H∞ synchronization concepts based on ψ-type function and ψ-type stability. Secondly, some criteria for general decay synchronization and general decay H∞ synchronization of the considered MWCRDNNs are proposed by designing appropriate controllers and using several inequality techniques. Thirdly, two numerical examples are given at the end of this paper to verify the effectiveness and correctness of our obtained results.