Control of fractional chaotic and hyperchaotic systems based on a fractional order controller

被引：20
|
作者：
Li Tian-Zeng [1 ,2 ]
Wang Yu [1 ,2 ]
Luo Mao-Kang [1 ]
机构：
[1] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China
[2] Sichuan Univ Sci & Engn, Sichuan Prov Univ Key Lab Bridge Nondestruct Dete, Sch Sci, Zigong 643000, Peoples R China
来源：
CHINESE PHYSICS B | 2014年 / 23卷 / 08期
基金：
中国国家自然科学基金;
关键词：
fractional-order chaotic system; chaos control; fractional-order controller; hyperchaos; MULTIAGENT SYSTEMS; FEEDBACK-CONTROL; CHEN SYSTEM; SYNCHRONIZATION; CONSENSUS;
D O I：
10.1088/1674-1056/23/8/080501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method.
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页数：11
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