Adaptive projective lag synchronization of uncertain complex dynamical networks with disturbance

Projective lag synchronization behavior with non-delay and delay coupling in complex dynamical network model is investigated in this paper. Based on Lyapunov stability theory, adaptive control scheme is applied to achieve the projective lag synchronization model with identical, different nodes and even if the delay coupling have constant time delay or time-varying coupling delay. In addition, the model consists of disturbances and fully unknown parameters. Theses parameters are identified by adaptive control and update law. Finally, the simulation results reveal that the states of the dynamical network with non-delay and delay coupling can be asymptotically synchronized onto a desired scaling under the designed controller. Additionally, numerical examples demonstrate the effectiveness of the proposed method.