Synchronization criteria for coupled Hopfield neural networks with time-varying delays

M. J. Park; O. M. Kwon; Ju H. Park; S. M. Lee; E. J. Cha

doi:10.1088/1674-1056/20/11/110504

Synchronization criteria for coupled Hopfield neural networks with time-varying delays

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha

School of Electronics Engineering

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

8 Scopus citations

Abstract

This paper proposes new delay-dependent synchronization criteria for coupled Hopfield neural networks with time-varying delays. By construction of a suitable Lyapunov - Krasovskii's functional and use of Finsler's lemma, novel synchronization criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

Original language	English
Article number	110504
Journal	Chinese Physics B
Volume	20
Issue number	11
DOIs	https://doi.org/10.1088/1674-1056/20/11/110504
State	Published - Nov 2011

Keywords

coupling delay
Hopfield neural networks
Lyapunov method
synchronization

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10.1088/1674-1056/20/11/110504

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title = "Synchronization criteria for coupled Hopfield neural networks with time-varying delays",

abstract = "This paper proposes new delay-dependent synchronization criteria for coupled Hopfield neural networks with time-varying delays. By construction of a suitable Lyapunov - Krasovskii's functional and use of Finsler's lemma, novel synchronization criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.",

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AU - Cha, E. J.

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AB - This paper proposes new delay-dependent synchronization criteria for coupled Hopfield neural networks with time-varying delays. By construction of a suitable Lyapunov - Krasovskii's functional and use of Finsler's lemma, novel synchronization criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

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KW - Lyapunov method

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Synchronization criteria for coupled Hopfield neural networks with time-varying delays

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Keywords

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