Global synchronization of drive–response dynamical networks subject to input nonlinearity

This paper investigates the global synchronization problem of complex dynamical networks consisting of a drive network and a response network. Using the decentralized and variable structure control techniques, a control law is derived which guarantees the global exponential synchronization of the drive–response network even with the presence of input nonlinearity. The proposed controller is applicable to complex networks with general nonlinear dynamical nodes. Chaotic networks are used as illustrative examples to demonstrate the effectiveness of the proposed control scheme.