中国物理B ›› 1999, Vol. 8 ›› Issue (6): 416-422.doi: 10.1088/1004-423X/8/6/003

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CONTROLLING HOPF BIFURCATIONS: CONTINUOUS-TIME SYSTEMS

方锦清1, 陈关荣2, 洪奕光3, 秦化淑3   

  1. (1)China Institute of Atomic Energy, Beijing 102413, China; (2)Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204, USA; (3)Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:1998-10-05 出版日期:1999-06-15 发布日期:1999-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19875080).

CONTROLLING HOPF BIFURCATIONS: CONTINUOUS-TIME SYSTEMS

Chen Guan-rong (陈关荣)a, Fang Jin-qing (方锦清)b, Hong Yi-guang (洪奕光)c, Qin Hua-shu (秦化淑)c   

  1. a Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204, USA; 
    b China Institute of Atomic Energy, Beijing 102413, China; 
    c Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China
  • Received:1998-10-05 Online:1999-06-15 Published:1999-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19875080).

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摘要： Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback method is developed in this paper for Hopf bifurcation control for continuous-time systems. The control task can be eit her shifting an existing Hopf bifurcation or creating a new Hopf bifurcation. Some computer simulations are included to illustrate the method and verify the theoretical results.

Abstract: Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback method is developed in this paper for Hopf bifurcation control for continuous-time systems. The control task can be eit her shifting an existing Hopf bifurcation or creating a new Hopf bifurcation. Some computer simulations are included to illustrate the method and verify the theoretical results.

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.30.Oz (Bifurcation theory) 02.30.Yy (Control theory)