Abstract:

Robust adaptive control is proposed for the generalized projective synchronization (GPS) and parameters identification between two different uncertain chaotic systems with bounded timevarying unknown parameters. Based on Lyapunov stability theory, a robust adaptive control law and a parameter identification scheme are presented. The proposed scheme can successfully synchronize the full states of the two chaotic systems in the generalized projection sense by changing the scale matrix and identify the unknown parameters despite the noise of the parameters. Rssler hyperchaotic system and Lü hyperchaotic system are used to prove the prensted method for GPS between two different uncertain hyperchaotic systems. Numerical simulations are presented to show the effectiveness and feasibility of the proposed method.