H∞ lag synchronization for chaotic systems

Research output: Contribution to journalArticle

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
Externally publishedYes

Fingerprint

synchronism
time lag
controllers
disturbances
norms
optimization

Keywords

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

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

H∞ lag synchronization for chaotic systems. / Ahn, Choon Ki.

In: International Journal of Modern Physics B, Vol. 25, No. 21, 20.08.2011, p. 2801-2812.

Research output: Contribution to journalArticle

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