On the uniform exponential stability of linear time-delay systems

This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities....

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Detalles Bibliográficos
Autores: De la Sen Parte, Manuel, Luo, Ningsu
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/2762
Acceso en línea:http://hdl.handle.net/10810/2762
Access Level:acceso abierto
Palabra clave:time delay systems
stability
stabilization
external point delays
differential equations
ANALYSIS
MATHEMATICS, APPLIED
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spelling On the uniform exponential stability of linear time-delay systemsDe la Sen Parte, ManuelLuo, Ningsutime delay systemsstabilitystabilizationexternal point delaysdifferential equationsANALYSISMATHEMATICS, APPLIEDThis paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities. It is assumed that the delay-free system as well as an auxiliary one are globally uniformly exponentially stable and globally uniform exponential stability independent of delay, respectively. The auxiliary system is, typically, part of the overall dynamics of the delayed system but not necessarily the isolated undelayed dynamics as usually assumed in the literature. Since there is a great freedom in setting such an auxiliary system, the obtained stability conditions are very useful in a wide class of practical applications.Hindawi Publishing Corporation201120112004info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/2762reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttp://www.hindawi.com/journals/ijmms/2004/468620/abs/info:eu-repo/semantics/openAccess© 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.oai:addi.ehu.eus:10810/27622026-06-18T09:23:17Z
dc.title.none.fl_str_mv On the uniform exponential stability of linear time-delay systems
title On the uniform exponential stability of linear time-delay systems
spellingShingle On the uniform exponential stability of linear time-delay systems
De la Sen Parte, Manuel
time delay systems
stability
stabilization
external point delays
differential equations
ANALYSIS
MATHEMATICS, APPLIED
title_short On the uniform exponential stability of linear time-delay systems
title_full On the uniform exponential stability of linear time-delay systems
title_fullStr On the uniform exponential stability of linear time-delay systems
title_full_unstemmed On the uniform exponential stability of linear time-delay systems
title_sort On the uniform exponential stability of linear time-delay systems
dc.creator.none.fl_str_mv De la Sen Parte, Manuel
Luo, Ningsu
author De la Sen Parte, Manuel
author_facet De la Sen Parte, Manuel
Luo, Ningsu
author_role author
author2 Luo, Ningsu
author2_role author
dc.subject.none.fl_str_mv time delay systems
stability
stabilization
external point delays
differential equations
ANALYSIS
MATHEMATICS, APPLIED
topic time delay systems
stability
stabilization
external point delays
differential equations
ANALYSIS
MATHEMATICS, APPLIED
description This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities. It is assumed that the delay-free system as well as an auxiliary one are globally uniformly exponentially stable and globally uniform exponential stability independent of delay, respectively. The auxiliary system is, typically, part of the overall dynamics of the delayed system but not necessarily the isolated undelayed dynamics as usually assumed in the literature. Since there is a great freedom in setting such an auxiliary system, the obtained stability conditions are very useful in a wide class of practical applications.
publishDate 2004
dc.date.none.fl_str_mv 2004
2011
2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/2762
url http://hdl.handle.net/10810/2762
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://www.hindawi.com/journals/ijmms/2004/468620/abs/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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