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

被引：71

作者：

Chen, Diyi ^{[1
]}

Zhang, Runfan ^{[1
]}

Sprott, J. C. ^{[2
]}

Chen, Haitao ^{[1
]}

Ma, Xiaoyi ^{[1
]}

机构：

[1] NW A&F Univ, Dept Elect Engn, Yangling 712100, Shaanxi, Peoples R China

[2] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA

来源：

CHAOS | 2012年 / 22卷 / 02期

关键词：

NEURONS;

D O I：

10.1063/1.4721996

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4721996]

引用

页数：9

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