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

• Articles • Previous Articles     Next Articles

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)

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

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals