H∞ Chaos synchronization for nonlinear Bloch equations

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3 Citations (Scopus)

Abstract

In this paper, we propose a new H∞ synchronization scheme for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the H∞, synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by an LMI. A numerical example is given to demonstrate the effectiveness of the proposed synchronization scheme.

Original languageEnglish
Pages (from-to)L2295-L2300
JournalJournal of the Korean Physical Society
Volume55
Issue number6
DOIs
Publication statusPublished - 2009 Dec
Externally publishedYes

Keywords

  • Chaotic behavior
  • H∞ synchronization
  • Linear matrix inequality (lmi)
  • Lyapunov theory
  • Nonlinear bloch equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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