Synchronization criteria for coupled neural networks with interval time-varying delays and leakage delay

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

doi:10.1016/j.amc.2011.12.043

Synchronization criteria for coupled neural networks with interval time-varying delays and leakage delay

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

48 Scopus citations

Abstract

This paper considers the synchronization problem for coupled neural networks with interval time-varying delays and leakage delay. By construction of a suitable Lyapunov-Krasovskii's functional and utilization of Finsler's lemma, novel delay-dependent criteria for the synchronization of 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
Pages (from-to)	6762-6775
Number of pages	14
Journal	Applied Mathematics and Computation
Volume	218
Issue number	12
DOIs	https://doi.org/10.1016/j.amc.2011.12.043
State	Published - 15 Feb 2012

Keywords

Coupled neural networks
Interval time-varying coupling delay
Leakage delay
Lyapunov method
Synchronization

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10.1016/j.amc.2011.12.043

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abstract = "This paper considers the synchronization problem for coupled neural networks with interval time-varying delays and leakage delay. By construction of a suitable Lyapunov-Krasovskii's functional and utilization of Finsler's lemma, novel delay-dependent criteria for the synchronization of 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 - Lee, S. M.

AU - Cha, E. J.

PY - 2012/2/15

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AB - This paper considers the synchronization problem for coupled neural networks with interval time-varying delays and leakage delay. By construction of a suitable Lyapunov-Krasovskii's functional and utilization of Finsler's lemma, novel delay-dependent criteria for the synchronization of 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.

KW - Coupled neural networks

KW - Interval time-varying coupling delay

KW - Leakage delay

KW - Lyapunov method

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ER -

Synchronization criteria for coupled neural networks with interval time-varying delays and leakage delay

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Keywords

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