Pinning Synchronization of Fractional General Complex Dynamical Networks with Time Delay * * This work is supported by the National Nature Science Foundation of China (No. 11371049)

摘要

In this paper, pinning synchronization of fractional general complex dynamical networks with time delay is investigated. Based on the stability theory of fractional systems and the inequality of the fractional derivative, some pinning synchronization criteria are abtained for both directed and undirected complex networks. Moreover, an adaptive pinning controller is designed to achieve synchronization of fractional general complex networks with time delay. Finally, some numerical examples are given to verify the proposed theoretical analysis.