General Decay Synchronization of State and Spatial Diffusion Coupled Delayed Memristive Neural Networks With Reaction-diffusion Terms

This paper aims at the study of the general decay synchronization of state and spatial diffusion coupled delayed reaction-diffusion memristive neural networks (CDRDMNNs). At first, we present the general decay synchronization concept for the considered network based on ψ-type stability, then we go deeply into the establishment of general decay synchronization criterion of state CDRDMNNs by excogitating a proper controller and utilizing an opportune Lyapunov functional, thereby gain a sufficient condition for attaining general decay synchronization of state CDRDMNNs. Subsequently, we devote ourselves to investigating the general decay synchronization of spatial diffusion CDRDMNNs and derive an adequate condition for realizing the general decay synchronization of this type of network. Next, some sufficient conditions which ensure robust general decay synchronization of state CDRDMNNs and spatial diffusion CDRDMNNs with uncertain parameters are concluded by utilizing various types of inequality techniques. Ultimately, the efficacy of the acquired general decay synchronization results are certified via numerical simulations of two examples.