Adaptive Pinning Synchronization of Complex Networks with Partial Delay and Noise Coupling

In this paper, we investigate the adaptive pinning synchronization of complex networks with partial delay and noise coupling. First, more realistic complex networks with partial delay and noise perturbation are established. Combining the advantages of the adaptive control method and pinning control technology, a novel coupling is designed to realize the synchronization. Several sufficient criteria for almost sure outer synchronization are developed based on the LaSalle invariance principle for stochastic differential equations. Finally, numerical simulations are performed to verify the effectiveness of the proposed synchronization scheme.