Robust synchronization of fractional-order complex dynamical networks with parametric uncertainties

The study investigates robust synchronization of fractional-order complex dynamical networks with parametric uncertainties. Based on the properties of the kronecker product and the stability of the fractional-order system, the robust synchronization criteria are derived by applying the nonlinear control. These criteria are in the form of linear matrix inequalities which can be readily solved by applying the LMI toolbox. The coupling configuration matrix is not necessary to be symmetric or irreducible, and the inner coupling matrix needs not to be symmetric, diagonal or positive definite. Two numerical examples are provided to demonstrate the validity of the presented synchronization scheme.

► The fractional-order complex networks model with parametric uncertainties is given.
► Fractional-order 0<α<10<α<1 and 1<α<21<α<2 are studied respectively.
► The robust synchronization criteria are in the form of linear matrix inequalities.
► The relation of fractional order α and feedback strength k is given in Section 4.