Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 971-976.

• 论文 • 上一篇    下一篇

IMPULSIVE CONTROL OF CHAOTIC ATTRACTORS IN NONLINEAR CHAOTIC SYSTEMS

马军海1,2, 任彪1, 陈予恕3   

  1. 1. Management School, Tianjin University, Tianjin 300072, P. R. China;
    2. Tianjin University of Finance and Economics, Tianjin 300222, P. R. China;
    3. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • 收稿日期:2002-10-25 修回日期:2004-03-25 出版日期:2004-09-18 发布日期:2004-09-18
  • 基金资助:

    the National Natural Science Foundation of China(19990150,70271071)

IMPULSIVE CONTROL OF CHAOTIC ATTRACTORS IN NONLINEAR CHAOTIC SYSTEMS

MA Jun-hai1,2, REN Biao1, CHEN Yu-shu3   

  1. 1. Management School, Tianjin University, Tianjin 300072, P. R. China;
    2. Tianjin University of Finance and Economics, Tianjin 300222, P. R. China;
    3. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • Received:2002-10-25 Revised:2004-03-25 Online:2004-09-18 Published:2004-09-18
  • Supported by:

    the National Natural Science Foundation of China(19990150,70271071)

PDF

447

摘要： Based on the study from both domestic and abroad, an impulsive control scheme on chaotic attractors in one kind of chaotic system is presented.By applying impulsive control theory of the universal equation, the asymptotically stable condition of impulsive control on chaotic attractors in such kind of nonlinear chaotic system has been deduced, and with it, the upper bond of the impulse interval for asymptotically stable control was given. Numerical results are presented, which are considered with important reference value for control of chaotic attractors.

关键词: impulsive control, chaotic attractor, chaos, asymptotically stable

Abstract: Based on the study from both domestic and abroad, an impulsive control scheme on chaotic attractors in one kind of chaotic system is presented.By applying impulsive control theory of the universal equation, the asymptotically stable condition of impulsive control on chaotic attractors in such kind of nonlinear chaotic system has been deduced, and with it, the upper bond of the impulse interval for asymptotically stable control was given. Numerical results are presented, which are considered with important reference value for control of chaotic attractors.

Key words: impulsive control, chaotic attractor, chaos, asymptotically stable

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn