Robust anti-synchronization for nonlinear chaotic dynamic systems via error passivation

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This paper proposes a new robust anti-synchronization scheme for nonlinear chaotic systems with external disturbance via passivity theory. The proposed anti-synchronization controller ensures that the anti-synchronization error system is passive from external disturbance to output based on Lyapunov theory and linear matrix inequality (LMI) formulation. Without external disturbance, it guarantees asymptotic stability. Our new controller can be constructed by solving the LMI feasibility problem. Via the simulation study for the Genesio-Tesi chaotic system, we demonstrate the effectiveness of the proposed anti-synchronization scheme.

Original languageEnglish
Pages (from-to)107-114
Number of pages8
JournalCommunications on Applied Nonlinear Analysis
Issue number2
Publication statusPublished - 2013
Externally publishedYes


  • Linear matrix inequality (LMI)
  • Lyapunov stability theory
  • Nonlinear chaotic systems
  • Passivity based anti-synchronization
  • Robust synchronization

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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