Generalized projective synchronization for a class of uncertain chaotic systems based on parameters identification

Robust adaptive control method is proposed for the generalized projective synchronization (GPS) and parameters identification of a class of uncertain chaotic systems with bounded time-varying unknown parameters. Based on Lyapunov stability theory, the robust adaptive control law without system parameters and the parameters identification scheme are proposed. The proposed scheme can successfully generalized projective synchronize the full states of the two chaotic systems by changing the scale factors, and identify the unknown parameters despite the noise of the parameters. Liu uncertain hyperchaotic system is used as an example to prove the presented method for GPS. Numerical simulations are presented to show the effectiveness and feasibility of the proposed method.