Adaptive synchronization of a class of nonlinearly coupled complex networks

This paper presents the robust synchronization problem of a class of nonlinearly coupled complex networks through adaptive techniques. The effects of perturbed couplings are addressed by adaptive compensation methods with fully equipped controller designs. A controller gain function is proposed to compensate the nonlinearities based on adaptive estimations of controller parameters on-line. On the basis of Lyapunov stability theory, the asymptotic synchronization results are demonstrated by adaptive controllers under the influence of perturbed couplings with nonlinearities. A numerical simulation is provided to illustrate the effectiveness of the theoretical results.