A note on H∞ anti-synchronization of chaotic neural networks with time-varying and distributed delays

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1 Citation (Scopus)

Abstract

Based on the Lyapunov-Krasovskii theory and the linear matrix inequality (LMI) formulation, this paper proposes a new H∞ anti-synchronization controller for chaotic neural networks with time-varying and distributed delays. The proposed controller can ensure asymptotical anti-synchronization between the drive and the response systems. Furthermore, this controller reduces the effect of external disturbance on the H∞ norm constraint. An existence condition for the controller is derived in terms of LMIs that can be easily solved by using efficient convex optimization algorithms. As an application of the proposed controller, the H∞ anti-synchronization problem for a chaotic Hopfield neural network with time-varying and distributed delays is investigated.

Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalJournal of the Korean Physical Society
Volume59
Issue number1
DOIs
Publication statusPublished - 2011 Jul 1
Externally publishedYes

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synchronism
controllers
norms
disturbances
formulations
optimization

Keywords

  • Anti-synchronization
  • Chaotic neural networks
  • Distributed delay
  • H∞
  • Linear matrix inequality (LMI)
  • Lyapunov-Krasovskii theory
  • Time-varying delay

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "Based on the Lyapunov-Krasovskii theory and the linear matrix inequality (LMI) formulation, this paper proposes a new H∞ anti-synchronization controller for chaotic neural networks with time-varying and distributed delays. The proposed controller can ensure asymptotical anti-synchronization between the drive and the response systems. Furthermore, this controller reduces the effect of external disturbance on the H∞ norm constraint. An existence condition for the controller is derived in terms of LMIs that can be easily solved by using efficient convex optimization algorithms. As an application of the proposed controller, the H∞ anti-synchronization problem for a chaotic Hopfield neural network with time-varying and distributed delays is investigated.",
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