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分数阶时滞复Lorenz混沌系统的控制与同步

虞继敏 武卫红 周尚波

计算机应用研究2017,Vol.34Issue(3):730-733,4.
计算机应用研究2017,Vol.34Issue(3):730-733,4.DOI:10.3969/j.issn.1001-3695.2017.03.021

分数阶时滞复Lorenz混沌系统的控制与同步

Control and synchronization of fractional complex Lorenz chaotic system with time-delay

虞继敏 1武卫红 1周尚波2

作者信息

  • 1. 重庆邮电大学自动化学院,重庆400065
  • 2. 重庆大学计算机学院,重庆400044
  • 折叠

摘要

Abstract

Based on the stability theorem of the fractional nonlinear system with time-delay,the stability control of fractional chaotic system with time-delay can be realized by linear feedback controller design.Based on the method of the matrix configuration controller design,the synchronization of fractional chaotic system with unknown parameters can be realized by using the method of delay separation.This paper took fractional complex Lorenz system with time-delay as an example,seperated the real part and imaginary part of each variable of original system to study their chaotic characteristics and chaotic control.Besides,it realized chaotic system synchronization with unknown parameters of system by using matrix configuration method.Numerical simulation confirms the efficiency of the two designed controllers.

关键词

分数阶/时滞系统/混沌系统/线性反馈控制/未知参数/同步

Key words

fractional order/time-delay system/chaotic system/linear feedback control/unknown parameters/synchronization

分类

信息技术与安全科学

引用本文复制引用

虞继敏,武卫红,周尚波..分数阶时滞复Lorenz混沌系统的控制与同步[J].计算机应用研究,2017,34(3):730-733,4.

基金项目

中央高校业务基金重大项目(106112014CDJZR188801) (106112014CDJZR188801)

重庆市前沿与应用基础研究项目(cstc2014jcyjA40037) (cstc2014jcyjA40037)

计算机应用研究

OA北大核心CSCDCSTPCD

1001-3695

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