Chaos synchronization of nonlinear bloch equations based on input-to-state stable control

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In this paper, we propose a new input-to-state stable (ISS) synchronization method for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the ISS synchronization controller is presented to not only guarantee the asymptotic synchronization but also achieve the bounded synchronization error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed synchronization scheme.

Original languageEnglish
Pages (from-to)308-312
Number of pages5
JournalCommunications in Theoretical Physics
Issue number2
Publication statusPublished - 2010 Feb 25
Externally publishedYes



  • Chaos synchronization
  • Input-to-state stable (ISS) control
  • Linear ma- trix inequality (LMI)
  • Lyapunov theory
  • Nonlinear Bloch equations

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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