A study of exponential stability of multiple equilibria in delayed recurrent neural networks

Zhigang Zeng; Wei Xing Zheng

doi:10.1109/ISCAS.2012.6271693

A study of exponential stability of multiple equilibria in delayed recurrent neural networks

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

![CDATA[The problem of exponential stability of multiple equilibria in recurrent neural networks with time-varying delays and concave-convex characteristics is addressed in this paper. The focus is placed upon derivation of some sufficient conditions under which an neural network of order n can have (2k + m - 1)ⁿequilibrium points with (k + m)ⁿof them having local exponential stability. The new results represent important extensions of the existing results on multistability of delayed recurrent neural networks.]]

Original language	English
Title of host publication	2012 IEEE International Symposium on Circuits and Systems: ISCAS 2012: 20-23 May 2012, Seoul, Korea
Publisher	IEEE Xplore
Pages	2083-2086
Number of pages	4
ISBN (Print)	9781467302197
DOIs	https://doi.org/10.1109/ISCAS.2012.6271693
Publication status	Published - 2012
Event	IEEE International Symposium on Circuits and Systems - Duration: 20 May 2012 → …

Publication series

Name
ISSN (Print)	0271-4302

Conference

Conference	IEEE International Symposium on Circuits and Systems
Period	20/05/12 → …

Keywords

associative memory
cellular neural networks
recurrent neural networks
stability analysis

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10.1109/ISCAS.2012.6271693

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title = "A study of exponential stability of multiple equilibria in delayed recurrent neural networks",

abstract = "![CDATA[The problem of exponential stability of multiple equilibria in recurrent neural networks with time-varying delays and concave-convex characteristics is addressed in this paper. The focus is placed upon derivation of some sufficient conditions under which an neural network of order n can have (2k + m - 1)ⁿequilibrium points with (k + m)ⁿof them having local exponential stability. The new results represent important extensions of the existing results on multistability of delayed recurrent neural networks.]]",

keywords = "associative memory, cellular neural networks, recurrent neural networks, stability analysis",

author = "Zhigang Zeng and Zheng, {Wei Xing}",

year = "2012",

doi = "10.1109/ISCAS.2012.6271693",

language = "English",

isbn = "9781467302197",

publisher = "IEEE Xplore",

pages = "2083--2086",

booktitle = "2012 IEEE International Symposium on Circuits and Systems: ISCAS 2012: 20-23 May 2012, Seoul, Korea",

note = "IEEE International Symposium on Circuits and Systems ; Conference date: 20-05-2012",

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T1 - A study of exponential stability of multiple equilibria in delayed recurrent neural networks

AU - Zeng, Zhigang

AU - Zheng, Wei Xing

PY - 2012

Y1 - 2012

N2 - ![CDATA[The problem of exponential stability of multiple equilibria in recurrent neural networks with time-varying delays and concave-convex characteristics is addressed in this paper. The focus is placed upon derivation of some sufficient conditions under which an neural network of order n can have (2k + m - 1)ⁿequilibrium points with (k + m)ⁿof them having local exponential stability. The new results represent important extensions of the existing results on multistability of delayed recurrent neural networks.]]

AB - ![CDATA[The problem of exponential stability of multiple equilibria in recurrent neural networks with time-varying delays and concave-convex characteristics is addressed in this paper. The focus is placed upon derivation of some sufficient conditions under which an neural network of order n can have (2k + m - 1)ⁿequilibrium points with (k + m)ⁿof them having local exponential stability. The new results represent important extensions of the existing results on multistability of delayed recurrent neural networks.]]

KW - associative memory

KW - cellular neural networks

KW - recurrent neural networks

KW - stability analysis

UR - http://handle.uws.edu.au:8081/1959.7/520230

UR - http://www.iscas2012.org/index.html

U2 - 10.1109/ISCAS.2012.6271693

DO - 10.1109/ISCAS.2012.6271693

M3 - Conference Paper

SN - 9781467302197

SP - 2083

EP - 2086

BT - 2012 IEEE International Symposium on Circuits and Systems: ISCAS 2012: 20-23 May 2012, Seoul, Korea

PB - IEEE Xplore

T2 - IEEE International Symposium on Circuits and Systems

Y2 - 20 May 2012

ER -

A study of exponential stability of multiple equilibria in delayed recurrent neural networks

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