Stability and convergence analysis of a neural model applied in nonlinear systems optimization

Detalhes bibliográficos
Autor(a) principal: Nunes Da Silva, Ivan [UNESP]
Data de Publicação: 2003
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/224969
Resumo: A neural model for solving nonlinear optimization problems is presented in this paper. More specifically, a modified Hopfield network is developed and its internal parameters are computed using the valid-subspace technique. These parameters guarantee the convergence of the network to the equilibrium points that represent an optimal feasible solution. The network is shown to be completely stable and globally convergent to the solutions of nonlinear optimization problems. A study of the modified Hopfield model is also developed to analyze its stability and convergence. Simulation results are presented to validate the developed methodology. © Springer-Verlag Berlin Heidelberg 2003.
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spelling Stability and convergence analysis of a neural model applied in nonlinear systems optimizationA neural model for solving nonlinear optimization problems is presented in this paper. More specifically, a modified Hopfield network is developed and its internal parameters are computed using the valid-subspace technique. These parameters guarantee the convergence of the network to the equilibrium points that represent an optimal feasible solution. The network is shown to be completely stable and globally convergent to the solutions of nonlinear optimization problems. A study of the modified Hopfield model is also developed to analyze its stability and convergence. Simulation results are presented to validate the developed methodology. © Springer-Verlag Berlin Heidelberg 2003.State University of São Paulo UNESP Department of Electrical Engineering, CP 473, CEP 17033.360, Bauru/SPState University of São Paulo UNESP Department of Electrical Engineering, CP 473, CEP 17033.360, Bauru/SPUniversidade Estadual Paulista (UNESP)Nunes Da Silva, Ivan [UNESP]2022-04-28T20:21:39Z2022-04-28T20:21:39Z2003-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article189-197Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 2714, p. 189-197.1611-33490302-9743http://hdl.handle.net/11449/2249692-s2.0-35248861971Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)info:eu-repo/semantics/openAccess2024-06-28T13:34:13Zoai:repositorio.unesp.br:11449/224969Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:24:49.990097Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Stability and convergence analysis of a neural model applied in nonlinear systems optimization
title Stability and convergence analysis of a neural model applied in nonlinear systems optimization
spellingShingle Stability and convergence analysis of a neural model applied in nonlinear systems optimization
Nunes Da Silva, Ivan [UNESP]
title_short Stability and convergence analysis of a neural model applied in nonlinear systems optimization
title_full Stability and convergence analysis of a neural model applied in nonlinear systems optimization
title_fullStr Stability and convergence analysis of a neural model applied in nonlinear systems optimization
title_full_unstemmed Stability and convergence analysis of a neural model applied in nonlinear systems optimization
title_sort Stability and convergence analysis of a neural model applied in nonlinear systems optimization
author Nunes Da Silva, Ivan [UNESP]
author_facet Nunes Da Silva, Ivan [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Nunes Da Silva, Ivan [UNESP]
description A neural model for solving nonlinear optimization problems is presented in this paper. More specifically, a modified Hopfield network is developed and its internal parameters are computed using the valid-subspace technique. These parameters guarantee the convergence of the network to the equilibrium points that represent an optimal feasible solution. The network is shown to be completely stable and globally convergent to the solutions of nonlinear optimization problems. A study of the modified Hopfield model is also developed to analyze its stability and convergence. Simulation results are presented to validate the developed methodology. © Springer-Verlag Berlin Heidelberg 2003.
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01
2022-04-28T20:21:39Z
2022-04-28T20:21:39Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 2714, p. 189-197.
1611-3349
0302-9743
http://hdl.handle.net/11449/224969
2-s2.0-35248861971
identifier_str_mv Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 2714, p. 189-197.
1611-3349
0302-9743
2-s2.0-35248861971
url http://hdl.handle.net/11449/224969
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 189-197
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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