H∞ lag synchronization for chaotic systems

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3 Citations (Scopus)

Abstract

In this paper, we propose a new H1 lag synchronization scheme for a general class of chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) approach, the H∞ lag synchronization controller is presented to not only guarantee exponential lag 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 the LMI. As an application of the proposed method, the H1 lag synchronization problem for Genesio-Tesi system is investigated.

Original languageEnglish
Pages (from-to)2801-2812
Number of pages12
JournalInternational Journal of Modern Physics B
Volume25
Issue number21
DOIs
Publication statusPublished - 2011 Aug 20

Keywords

  • H∞ lag synchronization
  • Lyapunov theory
  • chaotic systems
  • linear matrix inequality (LMI)

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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