Cluster Synchronization for Coupled Neural Networks with Mixed Couplings via Pinning Partial Impulsive Strategy

This paper explores the issue of cluster synchronization (CS) for coupled neural networks (CNNs) with both current-state coupling and distributed-delay coupling using a pinning partial impulsive control (PPIC) strategy. Considering the synchronization of an array of neural networks featuring two distinct topologies and targeting a desired trajectory while reducing control costs, a novel PPIC strategy is proposed, which selectively controls a specific subset of neurons within certain subnetworks. Finally, the validity of the theoretical analysis and the proposed control scheme is demonstrated through a numerical example.