The synchronization of fractional-order chaotic systems via sliding mode control

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.