东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (3): 313-317.DOI: -

• 论著 • 上一篇    下一篇

超混沌Chen系统和超混沌Lorenz系统的反同步

蔡娜;井元伟;姜囡;张嗣瀛;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2009-03-15 发布日期:2013-06-22
  • 通讯作者: Cai, N.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274009);;

Anti-synchronization between hyper-chaotic Chen system and hyper-chaotic Lorenz system

Cai, Na (1); Jing, Yuan-Wei (1); Jiang, Nan (1); Zhang, Si-Ying (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-03-15 Published:2013-06-22
  • Contact: Cai, N.
  • About author:-
  • Supported by:
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摘要： 针对两个不同超混沌系统的反同步问题进行了研究,分别采用两种控制方法,为响应系统设计了适当的控制器,以达到两个超混沌系统之间的反同步.提出了一种特殊反对称结构,基于此给出了反同步控制器的直接构造法;针对主动控制法设计控制器的盲目性,引入了判定矩阵负定的简化方法,给出了实现反同步的主动控制法.最后,对超混沌Chen系统和超混沌Lorenz系统之间的反同步进行数值仿真,结果说明了这两种设计方法的有效性.

关键词: 超混沌系统, 反同步, 直接构造法, 主动控制法, 反对称结构

Abstract: The anti-synchronization problem between two different hyper-chaotic systems is studied. Two different control methods are used to design proper controllers for the response system to realize the anti-synchronization. A special antisymmetric structure is proposed, and based on it, the direct design method is given to design the anti-synchronization controller. To prevent the controller design by active control method from indiscrimination, a simplified judging method of negative definite matrix is introduced to give the anti-synchronization active design of controller. A numerical simulation was done for the anti-synchronization between hyper-chaotic Chen system and hyper-chaotic Lorenz system, and the results verified the effectiveness of both the direct design method and active control method.

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