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Chaos. 2012 Jun;22(2):023130. doi: 10.1063/1.4721996.

Synchronization between integer-order chaotic systems and a class of fractional-order chaotic systems via sliding mode control.

Author information

1
Department of Electrical Engineering, Northwest A&F University, Yangling, Shaanxi 712100, People's Republic of China. diyichen@nwsuaf.edu.cn

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.

PMID:
22757537
DOI:
10.1063/1.4721996

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