Synchronization of fractional-order chaotic systems using unidirectional adaptive full-state linear error feedback coupling

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

20 Scopus Citations
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Author(s)

  • Andrew Y. T. Leung
  • Xian-Feng Li
  • Yan-Dong Chu
  • Xiao-Bo Rao

Detail(s)

Original languageEnglish
Pages (from-to)185-199
Journal / PublicationNonlinear Dynamics
Volume82
Issue number1-2
Online published22 May 2015
Publication statusPublished - Oct 2015

Abstract

Based on the stability theory of fractional-order system, a novel unidirectional adaptive full-state linear error feedback coupling scheme is extended to control and synchronize all of fractional-order differential (FOD) chaotic systems with in-commensurate (and commensurate) orders. The feedback strength is adaptive to an updated law rather than prescribed as a constant. The convergence speed of feedback strength is regulated by a constant. With rigorous linear algebraic theorems and precisely numerical matrix computations, a reasonable interval in which the ultimate final control strength dwells is suggested, and the reliability of synchronization state is guaranteed. It demonstrates that the unidirectional full-state linear feedback coupling scheme can be adopted to control and synchronize FOD chaotic systems directly. Numerical simulations of three representative FOD chaotic systems illustrate the effectiveness of the proposed scheme.

Research Area(s)

  • Adaptive law, Chaos synchronization, Coupling, Fractional derivative, Full-state linear error feedback

Citation Format(s)

Synchronization of fractional-order chaotic systems using unidirectional adaptive full-state linear error feedback coupling. / Leung, Andrew Y. T.; Li, Xian-Feng; Chu, Yan-Dong et al.

In: Nonlinear Dynamics, Vol. 82, No. 1-2, 10.2015, p. 185-199.

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