在线阅读 --自然科学版 2009年1期《基于反馈线性化的分数阶混沌系统的同步》
基于反馈线性化的分数阶混沌系统的同步--[在线阅读]
张若洵1,2, 杨世平1
1. 河北师范大学物理科学与信息工程学院, 河北石家庄 050016;
2. 邢台学院初等教育学院, 河北邢台 054001
起止页码: 37--41页
DOI:
摘要
基于分数阶线性系统稳定性理论,结合反馈控制和主动控制方法,提出了一类分数阶混沌系统的同步方法,给出了同步控制器解析式,该方法简单,适用范围广.以分数阶Chen混沌系统、分数阶R ssler超混沌系统为例,进行了数值仿真,证实了该方法的有效性和可行性.

Synchronization of the Fractionalorder Chaotic Systems Based on Linearization by Feedback
ZHANG Ruo-xun1,2, YANG Shi-ping1
1. College of Physics Science and Information Engineering, Hebei Normal University, Hebei Shijiazhuang 050016, China;
2. College of Elementary Education, Xingtai University, Hebei Xingtai 054001, China
Abstract:
Based on stability theory of f ractional-order linear systems,a novel method combining feedback control and active cont rol is proposed for the synchronization of the fractional-order chaotic systems.The controller is obtained,and the met hod can be applied to solve synchronization problems of several classes of fractional-order chaotic systems,e.g,Lorenz system,Rssler system,Chen system,Liu system,Lüsystem,R ssler hyperchaotic system.Numerical simulation results are presented to demonst rate the effectiveness and feasibility of the proposed met hod.

收稿日期: 2008-2-29
基金项目: 河北省自然科学基金(A2006000128)

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