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Acta Physica Sinica (Overseas Edition), 1999, Vol. 8(6): 416-422    DOI: 10.1088/1004-423X/8/6/003
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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
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
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.
Received:  05 October 1998      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  02.30.Oz (Bifurcation theory)  
  02.30.Yy (Control theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19875080).

Cite this article: 

Chen Guan-rong (陈关荣), Fang Jin-qing (方锦清), Hong Yi-guang (洪奕光), Qin Hua-shu (秦化淑) CONTROLLING HOPF BIFURCATIONS: CONTINUOUS-TIME SYSTEMS 1999 Acta Physica Sinica (Overseas Edition) 8 416

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