Adaptive control design for a class of uncertain time-varying anti-synchronization chaotic systems

In this paper, a new adaptive feedback control scheme is proposed for a class of anti-synchronization uncertain time-varying chaotic systems. This adaptive anti-synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is given. The control scheme is successfully applied to two examples: Josephson junction system and pendulum system; Josephson junction system and Rössler system. Numerical results are given to illustrate the effectiveness of the proposed method in this paper.