Generalized outer synchronization between two uncertain dynamical networks

This paper investigates generalized outer synchronization between two uncertain dynamical networks with a novel feature that the couplings of each network are unknown functions. With nonlinear control schemes, two sufficient criteria for generalized outer synchronization with or without time delay are obtained by Lyapunov stability theory and Barbalat's lemma. Our results are valid for many studies of the couplings inside each network being linear or nonlinear. Finally, numerical simulations are given to verify the effectiveness of the control schemes.