Adaptive synchronization of two different uncertain chaotic systems

This Letter treats the synchronization problem of two different chaotic systems when the parameters of the drive and response systems are fully unknown uncertain and different. Based on Lyapunov stability theory, an adaptive control law is derived such that the two different chaotic systems are to be synchronized. Lü system is controlled to be Lorenz system, also, Chen system is controlled to be Lorenz system. Numerical simulations are shown to verify the results.