Synchronization of fractional-order drive-response complex dynamical networks using scalar signals

In this paper, synchronization of drive-response complex dynamical networks with fractional-order dynamical nodes is discussed. Only scalar signals as the feedback variable are required to be transmitted from the driving network to the response network, which can save a lot of channel resources and has more significant meanings in engineering applications. Based on the Jordan canonical transformation method, some criteria for synchronization of fractional-order drive-response complex dynamical networks are given in the form of normal algebraic inequalities, which can greatly decrease the original computational effort. Finally, a numerical simulation is provided to validate the effectiveness and feasibility of the proposed synchronization criteria.