On absolute stability of delayed neural networks

Guigen Sun; Changyin Sun

doi:10.1109/ICCCAS.2002.1179099

On absolute stability of delayed neural networks

Guigen Sun
, Changyin Sun

Southeast University, Nanjing
Yangzhou University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

This paper first investigates the absolute exponential stability (AEST) of delayed neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main results obtained are that if the interconnection matrix T of the delayed neural networks satisfies that -T is an H -matrix with nonnegative diagonal elements and there exists k satisfying the condition concerned, then the neural network system is absolutely stable (ABST).

Original language	English
Title of host publication	2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings
Editors	Lemin Li
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1675-1679
Number of pages	5
ISBN (Electronic)	0780375475, 9780780375475
DOIs	https://doi.org/10.1109/ICCCAS.2002.1179099
State	Published - 2002
Externally published	Yes
Event	1st International Conference on Communications, Circuits and Systems, ICCCAS 2002 - Chengdu, China Duration: 29 Jun 2002 → 1 Jul 2002

Publication series

Name	2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings
Volume	2

Conference

Conference	1st International Conference on Communications, Circuits and Systems, ICCCAS 2002
Country/Territory	China
City	Chengdu
Period	29/06/02 → 1/07/02

Keywords

Absolute exponential stability
delayed neural networks
partially Lipschitz continous

Access to Document

10.1109/ICCCAS.2002.1179099

Cite this

Sun, G., & Sun, C. (2002). On absolute stability of delayed neural networks. In L. Li (Ed.), 2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings (pp. 1675-1679). Article 1179099 (2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings; Vol. 2). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCCAS.2002.1179099

Sun, Guigen ; Sun, Changyin. / On absolute stability of delayed neural networks. 2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings. editor / Lemin Li. Institute of Electrical and Electronics Engineers Inc., 2002. pp. 1675-1679 (2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings).

@inproceedings{9a4c680448ac42ab80e381da40a79f37,

title = "On absolute stability of delayed neural networks",

abstract = "This paper first investigates the absolute exponential stability (AEST) of delayed neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main results obtained are that if the interconnection matrix T of the delayed neural networks satisfies that -T is an H -matrix with nonnegative diagonal elements and there exists k satisfying the condition concerned, then the neural network system is absolutely stable (ABST).",

keywords = "Absolute exponential stability, delayed neural networks, partially Lipschitz continous",

author = "Guigen Sun and Changyin Sun",

note = "Publisher Copyright: {\textcopyright} 2002 IEEE.; 1st International Conference on Communications, Circuits and Systems, ICCCAS 2002 ; Conference date: 29-06-2002 Through 01-07-2002",

year = "2002",

doi = "10.1109/ICCCAS.2002.1179099",

language = "英语",

series = "2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1675--1679",

editor = "Lemin Li",

booktitle = "2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings",

}

Sun, G & Sun, C 2002, On absolute stability of delayed neural networks. in L Li (ed.), 2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings., 1179099, 2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings, vol. 2, Institute of Electrical and Electronics Engineers Inc., pp. 1675-1679, 1st International Conference on Communications, Circuits and Systems, ICCCAS 2002, Chengdu, China, 29/06/02. https://doi.org/10.1109/ICCCAS.2002.1179099

On absolute stability of delayed neural networks. / Sun, Guigen; Sun, Changyin.
2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings. ed. / Lemin Li. Institute of Electrical and Electronics Engineers Inc., 2002. p. 1675-1679 1179099 (2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - On absolute stability of delayed neural networks

AU - Sun, Guigen

AU - Sun, Changyin

PY - 2002

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N2 - This paper first investigates the absolute exponential stability (AEST) of delayed neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main results obtained are that if the interconnection matrix T of the delayed neural networks satisfies that -T is an H -matrix with nonnegative diagonal elements and there exists k satisfying the condition concerned, then the neural network system is absolutely stable (ABST).

AB - This paper first investigates the absolute exponential stability (AEST) of delayed neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main results obtained are that if the interconnection matrix T of the delayed neural networks satisfies that -T is an H -matrix with nonnegative diagonal elements and there exists k satisfying the condition concerned, then the neural network system is absolutely stable (ABST).

KW - Absolute exponential stability

KW - delayed neural networks

KW - partially Lipschitz continous

UR - https://www.scopus.com/pages/publications/84976421795

U2 - 10.1109/ICCCAS.2002.1179099

DO - 10.1109/ICCCAS.2002.1179099

M3 - 会议稿件

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T3 - 2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings

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BT - 2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings

A2 - Li, Lemin

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1st International Conference on Communications, Circuits and Systems, ICCCAS 2002

Y2 - 29 June 2002 through 1 July 2002

ER -

Sun G, Sun C. On absolute stability of delayed neural networks. In Li L, editor, 2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2002. p. 1675-1679. 1179099. (2002 International Conference on Communications, Circuits and Systems and West Sino Exposition, ICCCAS 2002 - Proceedings). doi: 10.1109/ICCCAS.2002.1179099

On absolute stability of delayed neural networks

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