Lag synchronization for time-delayed chaotic systems via the H approach

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3 Citations (Scopus)

Abstract

This paper proposes a new H, lag synchronization scheme for time-delayed chaotic systems with external disturbance. Based on Lyapunov-Krasovskii stability theory, the H lag synchronization controller is presented such that the time-delayed lag synchronization error system is asymptotically stable with a guaranteed H performance. It is shown that the design of the proposed lag synchronization controller can be achieved by solving a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. The lag synchronization problem for time-delayed chaotic Hopfield neural networks is provided to demonstrate the effectiveness of the developed theoretical results.

Original languageEnglish
Pages (from-to)704-710
Number of pages7
JournalJournal of the Korean Physical Society
Volume56
Issue number3
DOIs
Publication statusPublished - 2010 Mar 15
Externally publishedYes

Keywords

  • H approach
  • Lag synchronization
  • Linear matrix inequality (LMI)
  • Lyapunov-Krasovskii stability theory
  • Time-delayed chaotic systems

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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