Pinning adaptive anti-synchronization between two general complex dynamical networks with non-delayed and delayed coupling

This paper investigates the anti-synchronization (AS) problem of two general complex dynamical networks with non-delayed and delayed coupling using pinning adaptive control method. Based on Lyapunov stability theory and Barbalat lemma, a sufficient condition is derived to guarantee the AS between two networks with non-delayed and delayed coupling. Numerical simulations are also presented to show the effectiveness of the proposed AS criterion.