Generalized passivity-based chaos synchronization

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5 Citations (Scopus)

Abstract

In this paper, a new passivity-based synchronization method for a general class of chaotic systems is proposed. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation studies for the Genesio-Tesi chaotic system and the Qi chaotic system are presented to demonstrate the effectiveness of the proposed scheme.

Original languageEnglish
Pages (from-to)1009-1018
Number of pages10
JournalApplied Mathematics and Mechanics (English Edition)
Volume31
Issue number8
DOIs
Publication statusPublished - 2010 Aug 1
Externally publishedYes

Keywords

  • Chaotic systems
  • Linear matrix inequality (LMI)
  • Lyapunov theory
  • Passivity-based synchronization

ASJC Scopus subject areas

  • Applied Mathematics
  • Mechanics of Materials
  • Mechanical Engineering

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