Test for Global Identifiability for Nonlinear Model Structures

Autores
Bambill, Héctor; Jordan, Mario Alberto
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
n the present work an algorithm for testing global identifiability for a wide class of nonlinear model structures with bounded signals is presented. The objective functional applied for parameter estimation is assumed to be nonconvex and analytic in a broad region of the parameter space. The supporting theory is given in lemmas which concern the existence and uniqueness of straight slots of nonconvex functionals and the convergence of polynomial mu-approaches. The method is exhaustive and hence the detection of the global minimum (if there is anyone) is practically sure. It is shown that the algorithm can be implemented with a few amount of system information.
Fil: Bambill, Héctor. Universidad Nacional del Sur; Argentina
Fil: Jordan, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto Argentino de Oceanografía. Universidad Nacional del Sur. Instituto Argentino de Oceanografía; Argentina. Universidad Nacional del Sur; Argentina
Materia
Nonlinear System Dynamic
Nonconvex Cost Functionals
Global And Local Identifiability
Polynomial Function Aproximation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/30583
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/30583
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Test for Global Identifiability for Nonlinear Model StructuresBambill, HéctorJordan, Mario AlbertoNonlinear System DynamicNonconvex Cost FunctionalsGlobal And Local IdentifiabilityPolynomial Function Aproximationhttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2n the present work an algorithm for testing global identifiability for a wide class of nonlinear model structures with bounded signals is presented. The objective functional applied for parameter estimation is assumed to be nonconvex and analytic in a broad region of the parameter space. The supporting theory is given in lemmas which concern the existence and uniqueness of straight slots of nonconvex functionals and the convergence of polynomial mu-approaches. The method is exhaustive and hence the detection of the global minimum (if there is anyone) is practically sure. It is shown that the algorithm can be implemented with a few amount of system information.Fil: Bambill, Héctor. Universidad Nacional del Sur; ArgentinaFil: Jordan, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto Argentino de Oceanografía. Universidad Nacional del Sur. Instituto Argentino de Oceanografía; Argentina. Universidad Nacional del Sur; ArgentinaPlanta Piloto de Ingeniería Química2000-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/30583Bambill, Héctor; Jordan, Mario Alberto; Test for Global Identifiability for Nonlinear Model Structures; Planta Piloto de Ingeniería Química; Latin American Applied Research; 30; 2; 12-2000; 185-1900327-07931851-8796CONICET DigitalCONICETenginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:33:40Zoai:ri.conicet.gov.ar:11336/30583instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:33:40.341CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Test for Global Identifiability for Nonlinear Model Structures
title Test for Global Identifiability for Nonlinear Model Structures
spellingShingle Test for Global Identifiability for Nonlinear Model Structures
Bambill, Héctor
Nonlinear System Dynamic
Nonconvex Cost Functionals
Global And Local Identifiability
Polynomial Function Aproximation
title_short Test for Global Identifiability for Nonlinear Model Structures
title_full Test for Global Identifiability for Nonlinear Model Structures
title_fullStr Test for Global Identifiability for Nonlinear Model Structures
title_full_unstemmed Test for Global Identifiability for Nonlinear Model Structures
title_sort Test for Global Identifiability for Nonlinear Model Structures
dc.creator.none.fl_str_mv Bambill, Héctor
Jordan, Mario Alberto
author Bambill, Héctor
author_facet Bambill, Héctor
Jordan, Mario Alberto
author_role author
author2 Jordan, Mario Alberto
author2_role author
dc.subject.none.fl_str_mv Nonlinear System Dynamic
Nonconvex Cost Functionals
Global And Local Identifiability
Polynomial Function Aproximation
topic Nonlinear System Dynamic
Nonconvex Cost Functionals
Global And Local Identifiability
Polynomial Function Aproximation
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv n the present work an algorithm for testing global identifiability for a wide class of nonlinear model structures with bounded signals is presented. The objective functional applied for parameter estimation is assumed to be nonconvex and analytic in a broad region of the parameter space. The supporting theory is given in lemmas which concern the existence and uniqueness of straight slots of nonconvex functionals and the convergence of polynomial mu-approaches. The method is exhaustive and hence the detection of the global minimum (if there is anyone) is practically sure. It is shown that the algorithm can be implemented with a few amount of system information.
Fil: Bambill, Héctor. Universidad Nacional del Sur; Argentina
Fil: Jordan, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto Argentino de Oceanografía. Universidad Nacional del Sur. Instituto Argentino de Oceanografía; Argentina. Universidad Nacional del Sur; Argentina
description n the present work an algorithm for testing global identifiability for a wide class of nonlinear model structures with bounded signals is presented. The objective functional applied for parameter estimation is assumed to be nonconvex and analytic in a broad region of the parameter space. The supporting theory is given in lemmas which concern the existence and uniqueness of straight slots of nonconvex functionals and the convergence of polynomial mu-approaches. The method is exhaustive and hence the detection of the global minimum (if there is anyone) is practically sure. It is shown that the algorithm can be implemented with a few amount of system information.
publishDate 2000
dc.date.none.fl_str_mv 2000-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/30583
Bambill, Héctor; Jordan, Mario Alberto; Test for Global Identifiability for Nonlinear Model Structures; Planta Piloto de Ingeniería Química; Latin American Applied Research; 30; 2; 12-2000; 185-190
0327-0793
1851-8796
CONICET Digital
CONICET
url http://hdl.handle.net/11336/30583
identifier_str_mv Bambill, Héctor; Jordan, Mario Alberto; Test for Global Identifiability for Nonlinear Model Structures; Planta Piloto de Ingeniería Química; Latin American Applied Research; 30; 2; 12-2000; 185-190
0327-0793
1851-8796
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Planta Piloto de Ingeniería Química
publisher.none.fl_str_mv Planta Piloto de Ingeniería Química
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846781955398434816
score 12.982451

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