Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (7): 741-746.

• 论文 •    下一篇

CONTROL OF A HYPERCHAOTIC DISCRETE SYSTEM

陈立群1, 刘曾荣2   

  1. 1. Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China;
    2. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China
  • 收稿日期:2000-03-03 修回日期:2001-03-08 出版日期:2001-07-18 发布日期:2001-07-18
  • 基金资助:
    the National Natural Science Foundation of China(19872044)

CONTROL OF A HYPERCHAOTIC DISCRETE SYSTEM

CHEN Li-qun1, LIU Zeng-rong 2   

  1. 1. Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China;
    2. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China
  • Received:2000-03-03 Revised:2001-03-08 Online:2001-07-18 Published:2001-07-18
  • Supported by:
    the National Natural Science Foundation of China(19872044)

摘要: The Control of a hyperchaotic discrete system is investigated. A time-varying feedback control law is established on the base of local linearization. The Liapunov direct method is applied to estimate the neighborhood in which the control law can be effectively used. Numerical examples are presented to demonstrate the applications of the control law to solve the problem of stabilizing unstable periodic orbits and the problem of tracking an arbitrarily given periodic orbit.

Abstract: The Control of a hyperchaotic discrete system is investigated. A time-varying feedback control law is established on the base of local linearization. The Liapunov direct method is applied to estimate the neighborhood in which the control law can be effectively used. Numerical examples are presented to demonstrate the applications of the control law to solve the problem of stabilizing unstable periodic orbits and the problem of tracking an arbitrarily given periodic orbit.

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