Anticontrol of chaos in continuous-time systems via time-delay feedback

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)771-779
Journal / PublicationChaos
Volume10
Issue number4
Publication statusPublished - Dec 2000

Abstract

In this paper, a systematic design approach based on time-delay feedback is developed for anticontrol of chaos in a continuous-time system. This anticontrol method can drive a finite-dimensional, continuous-time, autonomous system from nonchaotic to chaotic, and can also enhance the existing chaos of an originally chaotic system. Asymptotic analysis is used to establish an approximate relationship between a time-delay differential equation and a discrete map. Anticontrol of chaos is then accomplished based on this relationship and the differential-geometry control theory. Several examples are given to verify the effectiveness of the methodology and to illustrate the systematic design procedure. © 2000 American Institute of Physics.

Citation Format(s)

Anticontrol of chaos in continuous-time systems via time-delay feedback. / Wang, Xiao Fan; Chen, Guanrong; Yu, Xinghuo.
In: Chaos, Vol. 10, No. 4, 12.2000, p. 771-779.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review