Adaptive control and synchronization of a fractional-order chaotic system

被引：33
|
作者：
Li, Chunlai [1 ]
Tong, Yaonan [2 ]
机构：
[1] Hunan Inst Sci & Technol, Coll Phys & Elect, Yueyang 414006, Peoples R China
[2] Hunan Inst Sci & Technol, Sch Informat & Commun Engn, Yueyang 414006, Peoples R China
来源：
PRAMANA-JOURNAL OF PHYSICS | 2013年 / 80卷 / 04期
关键词：
Fractional order; adaptive scheme; control; synchronization; HYPERCHAOS; EQUATIONS;
D O I：
10.1007/s12043-012-0500-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the chaotic dynamics of a three-dimensional fractional-order chaotic system is investigated. The lowest order for exhibiting chaos in the fractional-order system is obtained. Adaptive schemes are proposed for control and synchronization of the fractional-order chaotic system based on the stability theory of fractional-order dynamic systems. The presented schemes, which contain only a single-state variable, are simple and flexible. Numerical simulations are used to demonstrate the feasibility of the presented methods.
引用
收藏
页码：583 / 592
页数：10
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