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		Yuping TIAN,Ji,ong ZHU,Guanrong CHEN.[en_title][J].Control Theory and Technology,2005,3(4):311~319.[Copy]

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YupingTIAN,JiandongZHU,GuanrongCHEN
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Received:October 31, 2005

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A survey on delayed feedback control of chaos

Yuping TIAN, Jiandong ZHU, Guanrong CHEN

(Department of Automatic Control,Southeast University,Nanjing Jiangsu 210096,China;School of Mathematics and Computer Science,Nanjing Normal University,Nanjing Jiangsu China;Department of Electronic Engineering,City University of Hong Kong,China)

Abstract:

This paper introduces the basic idea and provides the mathematical formulation of the delayed feedback control (DFC) methodology, which has been widely used in chaos control. Stability analysis including the well_known odd number limitation of the DFC is reviewed. Some new developments in characterizing the limitation of the DFC are presented. Various modified DFC methods, which are developed in order to overcome the odd number limitation, are also described. Finally, some open problems in this research field are discussed.

Key words: Delayed feedback control Chaos control Stability Odd number limitation Stabilization