Abstract:  In order to solve the problem of the synchronization for singular fractional-order complex dynamic
networks,the continuous frequency distributed equivalent model and the indirect Lyapunov approach are applied
in the research of the singular fractional-order systems, a fractional-order synchronization controller is proposed to
normalize the singular fractional-order system. A novel sufficient condition for synchronization of uncertain
singular fractional-order complex dynamic networks with the order α(0<α<1) is presented. The LMI (Linear
Matrix Inequalities) techniques is used to obtain the gain of controller. A numerical example is provided to
demonstrate the validity of the proposed methods.

Key words: complex dynamic networks, frequency distributed equivalent model, synchronization, linear matrix inequalities,  singular fractional-order system