Analysis of stability in neutral delay differential equations through different approaches

Autores
Itovich, Griselda Rut
Año de publicación
2021
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión aceptada
Descripción
Fil: Itovich, Griselda Rut. Universidad Nacional de Río Negro. Escuela de Producción, Tecnología y Medio Ambiente. Río Negro, Argentina.
This work is about the analysis of equilibrium stability in certain neutral delay differential equations (ndde), which include several bifurcation parameters. In the considered cases, the associated characteristic equation is an exponential polynomial one with a principal term, so some Pontryagin results [1,2] are a convenient tool to locate its roots. Then, it is possible to set up certain regions in the parameter space where asymptotic stability can be guaranteed. Besides, the outcomes are all in agreement with those coming from a sophisticated application of the Nyquist stability criterion (based on the Cauchy’s argument principle) and also with others found in the literature, related with some real systems modelled by ndde.
Materia
Ingeniería, Ciencia y Tecnología
Delay Differential Equations
Neutral Delay Differential Equations
Stability
Ingeniería, Ciencia y Tecnología
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
RID-UNRN (UNRN)
Institución
Universidad Nacional de Río Negro
OAI Identificador
oai:rid.unrn.edu.ar:20.500.12049/8738
Acceder
id RIDUNRN_7c51d16ff16c75da37e0e7283530a7ea
oai_identifier_str oai:rid.unrn.edu.ar:20.500.12049/8738
network_acronym_str RIDUNRN
repository_id_str 4369
network_name_str RID-UNRN (UNRN)
spelling Analysis of stability in neutral delay differential equations through different approachesItovich, Griselda RutIngeniería, Ciencia y TecnologíaDelay Differential EquationsNeutral Delay Differential EquationsStabilityIngeniería, Ciencia y TecnologíaFil: Itovich, Griselda Rut. Universidad Nacional de Río Negro. Escuela de Producción, Tecnología y Medio Ambiente. Río Negro, Argentina.This work is about the analysis of equilibrium stability in certain neutral delay differential equations (ndde), which include several bifurcation parameters. In the considered cases, the associated characteristic equation is an exponential polynomial one with a principal term, so some Pontryagin results [1,2] are a convenient tool to locate its roots. Then, it is possible to set up certain regions in the parameter space where asymptotic stability can be guaranteed. Besides, the outcomes are all in agreement with those coming from a sophisticated application of the Nyquist stability criterion (based on the Cauchy’s argument principle) and also with others found in the literature, related with some real systems modelled by ndde.2021-07-12info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfhttps://mca2021.dm.uba.ar/en/tools/view-abstract?code=3613http://rid.unrn.edu.ar/handle/20.500.12049/8738enghttps://mca2021.dm.uba.ar/en/Mathematical Congress of Americas 2021info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/reponame:RID-UNRN (UNRN)instname:Universidad Nacional de Río Negro2025-09-04T11:12:46Zoai:rid.unrn.edu.ar:20.500.12049/8738instacron:UNRNInstitucionalhttps://rid.unrn.edu.ar/jspui/Universidad públicaNo correspondehttps://rid.unrn.edu.ar/oai/snrdrid@unrn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:43692025-09-04 11:12:47.103RID-UNRN (UNRN) - Universidad Nacional de Río Negrofalse
dc.title.none.fl_str_mv Analysis of stability in neutral delay differential equations through different approaches
title Analysis of stability in neutral delay differential equations through different approaches
spellingShingle Analysis of stability in neutral delay differential equations through different approaches
Itovich, Griselda Rut
Ingeniería, Ciencia y Tecnología
Delay Differential Equations
Neutral Delay Differential Equations
Stability
Ingeniería, Ciencia y Tecnología
title_short Analysis of stability in neutral delay differential equations through different approaches
title_full Analysis of stability in neutral delay differential equations through different approaches
title_fullStr Analysis of stability in neutral delay differential equations through different approaches
title_full_unstemmed Analysis of stability in neutral delay differential equations through different approaches
title_sort Analysis of stability in neutral delay differential equations through different approaches
dc.creator.none.fl_str_mv Itovich, Griselda Rut
author Itovich, Griselda Rut
author_facet Itovich, Griselda Rut
author_role author
dc.subject.none.fl_str_mv Ingeniería, Ciencia y Tecnología
Delay Differential Equations
Neutral Delay Differential Equations
Stability
Ingeniería, Ciencia y Tecnología
topic Ingeniería, Ciencia y Tecnología
Delay Differential Equations
Neutral Delay Differential Equations
Stability
Ingeniería, Ciencia y Tecnología
dc.description.none.fl_txt_mv Fil: Itovich, Griselda Rut. Universidad Nacional de Río Negro. Escuela de Producción, Tecnología y Medio Ambiente. Río Negro, Argentina.
This work is about the analysis of equilibrium stability in certain neutral delay differential equations (ndde), which include several bifurcation parameters. In the considered cases, the associated characteristic equation is an exponential polynomial one with a principal term, so some Pontryagin results [1,2] are a convenient tool to locate its roots. Then, it is possible to set up certain regions in the parameter space where asymptotic stability can be guaranteed. Besides, the outcomes are all in agreement with those coming from a sophisticated application of the Nyquist stability criterion (based on the Cauchy’s argument principle) and also with others found in the literature, related with some real systems modelled by ndde.
description Fil: Itovich, Griselda Rut. Universidad Nacional de Río Negro. Escuela de Producción, Tecnología y Medio Ambiente. Río Negro, Argentina.
publishDate 2021
dc.date.none.fl_str_mv 2021-07-12
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/acceptedVersion
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://mca2021.dm.uba.ar/en/tools/view-abstract?code=3613
http://rid.unrn.edu.ar/handle/20.500.12049/8738
url https://mca2021.dm.uba.ar/en/tools/view-abstract?code=3613
http://rid.unrn.edu.ar/handle/20.500.12049/8738
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://mca2021.dm.uba.ar/en/
Mathematical Congress of Americas 2021
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:RID-UNRN (UNRN)
instname:Universidad Nacional de Río Negro
reponame_str RID-UNRN (UNRN)
collection RID-UNRN (UNRN)
instname_str Universidad Nacional de Río Negro
repository.name.fl_str_mv RID-UNRN (UNRN) - Universidad Nacional de Río Negro
repository.mail.fl_str_mv rid@unrn.edu.ar
_version_ 1842344108010504192
score 12.623145

Publicaciones similares