Chaos synchronization of a chaotic system via nonlinear control

In this letter, the problem of chaos synchronization of a chaotic system which is proposed by Lü et al. [Int J Bifurcat Chaos 2004;14:1507] is considered. A novel nonlinear controller is designed based on the Lyapunov stability theory. The proposed controller ensures that the states of the controlled chaotic slave system asymptotically synchronizes the states of the master system. A numerical example is given to illuminate the design procedure and advantage of the result derived.