Synchronization criteria for singular complex dynamical networks with delayed coupling and non-delayed coupling

By using Lyapunov-Krasovskii(LK) functional approach,we derive novel synchronization criteria in the form of linear matrix inequalities(LMIs) for singular complex dynamical networks with delayed coupling and non-delayed coupling.The convexity of matrix functions and the free-weighting matrix method are fully exploited to reduce the conservatism of the results we obtained.Numerical examples are presented to illustrate the efficiency and less conservatism of the proposed method.