Abstract:
This study addresses the pinning synchronization problem in multilayer complex dynamic networks with time delays and noise. Considering the diversity of sub-network connections in real networks, a complex dynamic network model with intra-layer and inter-layer coupling was established. To enhance the synchronization efficiency of multi-layer coupled networks, a pinning control synchronization strategy was proposed based on Lyapunov stability theory and LaSalle’s invariance principle. By controlling only a small fraction of nodes in the multilayer coupled network, all node state trajectories are synchronized to the target periodic orbit, while effectively compensating for delays and noise. Finally, numerical simulations verify the effectiveness and feasibility of the proposed method.