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Chinese Physics, 2007, Vol. 16(8): 2259-2263    DOI: 10.1088/1009-1963/16/8/017
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Controlling a time-delay system using multiple delay feedback control

Qi Wei(祁伟), Zhang Yan(张岩), and Wang Ying-Hai(汪映海)
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
Abstract  In this paper multiple delay feedback control (MDFC) with different and independent delay times is shown to be an efficient method for stabilizing fixed points in finite-dimensional dynamical systems. Whether MDFC can be applied to infinite-dimensional systems has been an open question. In this paper we find that for infinite-dimensional systems modelled by delay differential equations, MDFC works well for stabilizing (unstable) steady states in long-, moderate- and short-time delay regions, in particular for the hyperchaotic case.
Keywords:  MDFC      infinite-dimensional systems      hyperchaos  
Received:  10 September 2006      Revised:  18 December 2006      Accepted manuscript online: 
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Tp (Time series analysis)  
Fund: Project supported by the Fundamental Research Fund for Physics and Mathematics of Lanzhou University (Grant No Lzu05008).

Cite this article: 

Qi Wei(祁伟), Zhang Yan(张岩), and Wang Ying-Hai(汪映海) Controlling a time-delay system using multiple delay feedback control 2007 Chinese Physics 16 2259

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