Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative

被引：10
|
作者：
Zhou, Ping [1 ,2 ]
Ding, Rui [1 ,2 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Ctr Syst Theory & Its Applicat, Chongqing 400065, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Key Lab Ind Internet Things & Networked Control, Chongqing 400065, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2012/214169
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The unstable equilibrium points of the fractional-order Lorenz chaotic system can be controlled via fractional-order derivative, and chaos synchronization for the fractional-order Lorenz chaotic system can be achieved via fractional-order derivative. The control and synchronization technique, based on stability theory of fractional-order systems, is simple and theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.
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页数：14
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