title: Synchronization between integer-order chaotic systems and a class of fractional-order chaotic systems via sliding mode control.
abstract: In this paper, we focus on the synchronization between integer-order chaotic systems and a class of fractional-order chaotic system using the stability theory of fractional-order systems. A new sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions. More importantly, the vector controller is one-dimensional less than the system. Furthermore, three examples are presented to illustrate the effectiveness of the proposed scheme, which are the synchronization between a fractional-order Chen chaotic system and an integer-order T chaotic system, the synchronization between a fractional-order hyperchaotic system based on Chen's system and an integer-order hyperchaotic system, and the synchronization between a fractional-order hyperchaotic system based on Chen's system and an integer-order Lorenz chaotic system. Finally, numerical results are presented and are in agreement with theoretical analysis.
authors: Department of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi 712100, People's Republic of China. diyichen@nwsuaf.edu.cn
authors: Diyi
authors: D
authors: Chen
authors: Runfan
authors: R
authors: Zhang
authors: J C
authors: JC
authors: Sprott
authors: Haitao
authors: H
authors: Chen
authors: Xiaoyi
authors: X
authors: Ma