Chaotifying a continuous-time system via impulsive input

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

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Detail(s)

Original languageEnglish
Pages (from-to)1121-1128
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number5
Publication statusPublished - 2002

Abstract

This paper studies the chaotification problem of driving a continuous-time system to a chaotic state by using an impulsive control input. The controller is designed to ensure the controlled orbit be bounded and, meanwhile, have positive Lyapunov exponents. This is proved to be not only possible but also implementable near a stable limit cycle of the given system. Two numerical examples are given to illustrate the effectiveness of the proposed chaotification method.

Research Area(s)

  • Chaos, Chaotification, Impulsive control, Poincaré map