Pinning Synchronization of Fractional-Order Complex Networks With Multi-State Couplings

This paper is concerned with the synchronization problem for multiple-state coupled fractional-order complex networks (MSCFOCNs). On one hand, a sufficient condition for ensuring that MSCFOCNs can achieve synchronization is obtained on the basis of inequality techniques, Laplace transform and an appropriate node-based pinning scheme. On the other hand, we not only construct the edge-based pinning control strategy, but also take synchronization for MSCFOCNs into consideration. Eventually, numerical example is given to verify the correctness of the theoretical analysis.