Feedback and adaptive synchronization of chaotic Lü system

This paper treats chaos synchronization problem of chaotic Lü system. Two control approaches via a single variable are investigated, namely a linear feedback control and adaptive control. Based on Lyapunov stability theory, control laws are derived such that the two identical Lü systems are to be synchronized. In both cases sufficient conditions for the synchronization are obtained analytically. Numerical simulations are shown to verify the results.