中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2259-2263.doi: 10.1088/1009-1963/16/8/017

• GENERAL • 上一篇    下一篇

Controlling a time-delay system using multiple delay feedback control

祁伟, 张岩, 汪映海   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2006-09-10 修回日期:2006-12-18 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    Project supported by the Fundamental Research Fund for Physics and Mathematics of Lanzhou University (Grant No Lzu05008).

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)   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • Received:2006-09-10 Revised:2006-12-18 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    Project supported by the Fundamental Research Fund for Physics and Mathematics of Lanzhou University (Grant No Lzu05008).

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摘要： 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.

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.

Key words: MDFC, infinite-dimensional systems, hyperchaos

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Tp (Time series analysis)