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

Choon Ki Ahn

doi:10.3938/jkps.59.1

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

Choon Ki Ahn

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Journal of the Korean Physical Society
Volume	59
Issue number	1
DOIs	https://doi.org/10.3938/jkps.59.1
Publication status	Published - 2011 Jul
Externally published	Yes

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)

Access to Document

10.3938/jkps.59.1

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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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