Convergence of threshold networks using their dissipative system model

A new dynamical energy system model representation is given for threshold networks. Inspired by the relation between stability and dissipativeness of dynamical systems, the convergence property of threshold networks is investigated. Using the energy function inherent within the given model a conditi...

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Bibliographic Details
Published inInternational journal of circuit theory and applications Vol. 28; no. 2; pp. 203 - 207
Main Authors Seng r, N. Serap, G knar, ? Cem
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 01.03.2000
Wiley
Subjects
Applied sciences
dissipativeness
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Neural networks
stability
threshold networks
Stability
Energy function
Dissipative system
Neural network
Dynamical system
Modeling
Convergence
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Summary:A new dynamical energy system model representation is given for threshold networks. Inspired by the relation between stability and dissipativeness of dynamical systems, the convergence property of threshold networks is investigated. Using the energy function inherent within the given model a condition, namely the dissipativeness of the dynamical system, necessary and sufficient condition for the convergence of the threshold network to a fixed point, is given. Also, an easy to check inequality is stated to test the convergence of the threshold network. Copyright © 2000 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-D75CXXRS-6
istex:4893D71AF9FC06CAA5B35F7898A975E7A07BAAC6
ArticleID:CTA99
ISSN:0098-9886
1097-007X
DOI:10.1002/(SICI)1097-007X(200003/04)28:2<203::AID-CTA99>3.0.CO;2-Z