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

Access to Document

10.1016/j.neucom.2012.04.027

Cite this

@article{a0aea095570a42678e454573b8328fae,

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.",

keywords = "Coupled discrete-time neural networks, Linear matrix inequality, Lyapunov method, Synchronization, Time-varying delay",

author = "Park, \{M. J.\} and Kwon, \{O. M.\} and Park, \{Ju H.\} and Lee, \{S. M.\} and Cha, \{E. J.\}",

year = "2013",

month = jan,

day = "1",

doi = "10.1016/j.neucom.2012.04.027",

language = "English",

volume = "99",

pages = "188--196",

journal = "Neurocomputing",

issn = "0925-2312",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays

AU - Park, M. J.

AU - Kwon, O. M.

AU - Park, Ju H.

AU - Lee, S. M.

AU - Cha, E. J.

PY - 2013/1/1

Y1 - 2013/1/1

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

UR - https://www.scopus.com/pages/publications/84867890911

U2 - 10.1016/j.neucom.2012.04.027

DO - 10.1016/j.neucom.2012.04.027

M3 - Article

AN - SCOPUS:84867890911

SN - 0925-2312

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this