Adaptive control and synchronization in a class of partially unknown chaotic systems.

This paper first addresses a novel control scheme to control a class of chaotic systems. In this method, no knowledge on the bounds of perturbations and disturbances is required in advance and parameters of the proposed controller are updated through an adaptive algorithm. Using the Lyapunov theory is employed to guarantee the stability of the closed loop system. Then synchronization of two nonidentical uncertain chaotic systems is investigated. To demonstrate the feasibility of the proposed scheme, numerical simulations on the application of control/synchronization of some famous chaotic systems are provided.

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