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

被引：12

作者：

Chen Di-Yi ^{[1
]}

Zhang Run-Fan ^{[1
]}

Ma Xiao-Yi ^{[1
]}

Wang Juan ^{[1
]}

机构：

[1] NW A&F Univ, Dept Elect Engn, Coll Water Resources & Architectural Engn, Yangling 712100, Peoples R China

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 12期

基金：

中国国家自然科学基金;

关键词：

synchronization; fractional-order system; integer-order chaotic system; sliding mode;

D O I：

10.1088/1674-1056/21/12/120507

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integer-order chaotic system, in this paper we investigate the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems via sliding mode control method. Stability analysis is performed for the proposed method based on stability theorems in the fractional calculus. Moreover, three typical examples are carried out to show that the synchronization between fractional-order chaotic systems and integer-orders chaotic systems can be achieved. Our theoretical findings are supported by numerical simulation results. Finally, results from numerical computations and theoretical analysis are demonstrated to be a perfect bridge between fractional-order chaotic systems and integer-order chaotic systems.

引用

页数：6

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