On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays

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

doi:10.1016/j.neucom.2012.04.027

On synchronization criterion for coupled discrete-time neural networks with interval 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

48 Scopus citations

Abstract

The purpose of this paper is to investigate the delay-dependent synchronization analysis for coupled discrete-time neural networks with interval time-varying delays in network couplings. Based on Lyapunov method, a new delay-dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by construction of a suitable Lyapunov-Krasovskii's functional and utilization of Finsler's lemma without free-weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	188-196
Number of pages	9
Journal	Neurocomputing
Volume	99
DOIs	https://doi.org/10.1016/j.neucom.2012.04.027
State	Published - 1 Jan 2013

Keywords

Coupled discrete-time neural networks
Linear matrix inequality
Lyapunov method
Synchronization
Time-varying delay

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10.1016/j.neucom.2012.04.027

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title = "On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays",

abstract = "The purpose of this paper is to investigate the delay-dependent synchronization analysis for coupled discrete-time neural networks with interval time-varying delays in network couplings. Based on Lyapunov method, a new delay-dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by construction of a suitable Lyapunov-Krasovskii's functional and utilization of Finsler's lemma without free-weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed method.",

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AU - Kwon, O. M.

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AU - Lee, S. M.

AU - Cha, E. J.

PY - 2013/1/1

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N2 - The purpose of this paper is to investigate the delay-dependent synchronization analysis for coupled discrete-time neural networks with interval time-varying delays in network couplings. Based on Lyapunov method, a new delay-dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by construction of a suitable Lyapunov-Krasovskii's functional and utilization of Finsler's lemma without free-weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed method.

AB - The purpose of this paper is to investigate the delay-dependent synchronization analysis for coupled discrete-time neural networks with interval time-varying delays in network couplings. Based on Lyapunov method, a new delay-dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by construction of a suitable Lyapunov-Krasovskii's functional and utilization of Finsler's lemma without free-weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed method.

KW - Coupled discrete-time neural networks

KW - Linear matrix inequality

KW - Lyapunov method

KW - Synchronization

KW - Time-varying delay

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VL - 99

SP - 188

EP - 196

JO - Neurocomputing

JF - Neurocomputing

ER -

On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays

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Keywords

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