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The Synchronization of Fractional-order Chaotic Systems via Sliding Mode Control

Yongguang Yu;Xinshu Lin;Yu Song;Jing Bai(Department of Mathematics;Beijing Jiaotong Univeristy;100044;Beijing;China)

  In this paper,the sliding mode control method is proposed to realize the synchronization of two fractional-order chaotic systems whether they are identical or not.The fractional derivatives are described in the Caputo sense.The design can also be applied to the synchronization of two fractional-order hyperchaotic systems.Finally,some numerical simulations are given to illustrate the effectiveness of the proposed method.The simulations are all implemented using predictor-corrector method to solve the fractional-order differential equations.……