Adaptive general pinned synchronization of a class of disturbed complex networks

In this paper, adaptive pinning control and coupling adjustment approaches are developed to deal with the robust synchronization problem for a class of complex networks with persistently time-varying and state-dependent disturbances. A novel and generalized synchronization error model is firstly proposed to unify the existing strong and weak synchronization error models. Adaptive schemes are designed to estimate unknown state-dependent factors and constant bounds. Then, pinning control and coupling adjustment strategies are constructed based on the estimations to compensate for the impacts of disturbances. With the adaptive method of combining Lyapunov function, bounded synchronization results are obtained under the influence of persistently state-dependent disturbances. Simulations are given to verify the effectiveness of the proposed method.