The Synchronization of Fractional Order Chaotic Systems with Different Dimensions through Sliding Mode Control

The synchronization of fractional order chaotic systems with different dimensions is investigated by means of sliding mode control in this paper. Active sliding mode controller is designed to realize the synchronization of fractional order chaotic systems with different dimensions. Based on stability theorems of fractional calculus, the stability of the proposed method is performed. Finally, based on the predictor-corrector method, two numerical simulations are presented to show the effectiveness of the obtained results.