Adaptive synchronization of two different chaotic systems with time varying unknown parameters

In this paper a nonlinear control method based on Lyapunov stability theorem is proposed to design an adaptive controller for synchronizing two different chaotic systems. It is assumed that the unknown parameters of the drive and the response chaotic systems are time varying. It is shown that the proposed scheme can identify the system parameters if the system parameters are time invariant and the richness conditions is satisfied. To demonstrate the effectiveness of the proposed technique it has been applied to Lorenz–Chen dynamic systems, as drive–response systems. Simulation results indicate that the proposed adaptive controller has a high performance in synchronizing two chaotic systems.