Intermittent pinning synchronization of reaction–diffusion neural networks with multiple spatial diffusion couplings

Abstract

This paper addresses the intermittent pinning synchronization problem of spatial diffusion coupled reaction–diffusion neural networks (RDNNs). Initially, the synchronization error signals are quantized before transmission to save both channel resource and control cost. Subsequently, utilizing intermittent pinning control scheme, only a small fraction of network nodes are selected to be controlled in various time periods, which further reduces the control cost. On the basis of the constructed controller, sufficient conditions that guarantee the synchronization of the coupled RDNNs are derived via Lyapunov direct method. Finally, the efficacy of the developed control approach is demonstrated by numerical simulation studies of three examples.