Anticipated function synchronization with unknown parameters of discrete-time chaotic systems

  • Yin Li*
  • , Biao Li
  • , Yong Chen
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

In this paper, firstly, the control problem for the chaos synchronization of discrete-time chaotic (hyperchaotic) systems with unknown parameters are considered. Next, backstepping control law is derived to make the error signals between drive 2D discrete-time chaotic system and response 2D discrete-time chaotic system with two uncertain parameters asymptotically synchronized. Finally, the approach is extended to the synchronization problem for 3D discrete-time chaotic system with two unknown parameters. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

Original languageEnglish
Pages (from-to)597-608
Number of pages12
JournalInternational Journal of Modern Physics C
Volume20
Issue number4
DOIs
StatePublished - Apr 2009

Keywords

  • Anticipated function synchronization
  • Backstepping design
  • Fold maps
  • Hénon maps

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