Robust General Decay Synchronization of State and Spatial Diffusion Coupled Reaction-diffusion Memristive Neural Networks

This paper aims at the study of robust general decay synchronization (RGDS) of state and spatial diffusion coupled reaction-diffusion memristive neural networks (CRDMNNs). Firstly, the synchronization condition is proposed by designing an appropriate controller and constructing suitable Lyapunov functional to reach RGDS of the CRDMNNs with state coupling. Then, the synchronization criterion is established by using some inequality techniques, so that CRDMNNs with spatial diffusion coupling achieves RGDS. Finally, one numerical simulation example verifies the effectiveness of the result.