Synchronization of Fractional-Order Chaotic Systems with Uncertain Parameters
For the synchronization of fractional-order chaotic systems with uncertain parameters, a controller based on sliding mode theory is presented. Based on the stability theory of fractional-order system, stability of the proposed method is analyzed. The theory is successfully applied to synchronize fractional Newton-Leipnik chaotic systems with uncertain parameters. The simulation results show the effectiveness of the proposed controller.
Zhihua Xu, Gang Shen and Sally Lin
H. Zhang and Q. M. Pu, "Synchronization of Fractional-Order Chaotic Systems with Uncertain Parameters", Advanced Materials Research, Vols. 171-172, pp. 723-727, 2011