Adaptive synchronization of fractional-order general complex dynamical networks

This paper investigates the synchronization of fractional-order general complex dynamical networks. Based on the stability theory of the fractional-order system, the sufficient criteria for synchronization are derived analytically by applying the linear control methods. The proposed synchronization method is applicable to almost all kinds of coupled fractional-order general complex dynamical networks. What is more, the coupling matrix is not assumed to be symmetric or irreducible. An example of the complex network is finally used to verify the proposed theoretical result.