Abstract
In this paper, anti-synchronization of two different chaotic systems is investigated. On the basis of Lyapunov theory, adaptive control scheme is proposed when system parameters are unknown or uncertain; sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed by using the sum of the state variables in chaotic systems. Numerical simulations are performed for the Chen system and Genesio system to demonstrate the effectiveness of the proposed control strategy.
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