New stability criteria for stochastic perturbed singular systems in mean square

In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. Sufficient conditions on uniform exponential stability and practical uniform exponential stabilit...

ver descrição completa

Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Ezzine, Faten, Hammami, Mohamed Ali
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/130377
Acesso em linha:https://hdl.handle.net/11441/130377
https://doi.org/10.1007/s11071-021-06620-y
Access Level:acceso abierto
Palavra-chave:Linear time-varying singular systems
Standard canonical form
Consistent initial conditions
Lyapunov function
Itô formula
Brownian motion
Nontrivial solution
Practical exponential stability in mean square
Stabilization
id ES_1f8bce040ef9b6cef7d8b2f54fcc2a98
oai_identifier_str oai:idus.us.es:11441/130377
network_acronym_str ES
network_name_str España
repository_id_str
spelling New stability criteria for stochastic perturbed singular systems in mean squareCaraballo Garrido, TomásEzzine, FatenHammami, Mohamed AliLinear time-varying singular systemsStandard canonical formConsistent initial conditionsLyapunov functionItô formulaBrownian motionNontrivial solutionPractical exponential stability in mean squareStabilizationIn this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. Sufficient conditions on uniform exponential stability and practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems are obtained based upon Lyapunov techniques. Furthermore, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, we provide numerical examples to validate the effectiveness of the main results of this paper.SpringerEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/130377https://doi.org/10.1007/s11071-021-06620-yreponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésNonlinear Dynamics, 105 (1), 241-256.https://doi.org/10.1007/s11071-021-06620-yinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1303772026-06-17T12:51:07Z
dc.title.none.fl_str_mv New stability criteria for stochastic perturbed singular systems in mean square
title New stability criteria for stochastic perturbed singular systems in mean square
spellingShingle New stability criteria for stochastic perturbed singular systems in mean square
Caraballo Garrido, Tomás
Linear time-varying singular systems
Standard canonical form
Consistent initial conditions
Lyapunov function
Itô formula
Brownian motion
Nontrivial solution
Practical exponential stability in mean square
Stabilization
title_short New stability criteria for stochastic perturbed singular systems in mean square
title_full New stability criteria for stochastic perturbed singular systems in mean square
title_fullStr New stability criteria for stochastic perturbed singular systems in mean square
title_full_unstemmed New stability criteria for stochastic perturbed singular systems in mean square
title_sort New stability criteria for stochastic perturbed singular systems in mean square
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Ezzine, Faten
Hammami, Mohamed Ali
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Ezzine, Faten
Hammami, Mohamed Ali
author_role author
author2 Ezzine, Faten
Hammami, Mohamed Ali
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
dc.subject.none.fl_str_mv Linear time-varying singular systems
Standard canonical form
Consistent initial conditions
Lyapunov function
Itô formula
Brownian motion
Nontrivial solution
Practical exponential stability in mean square
Stabilization
topic Linear time-varying singular systems
Standard canonical form
Consistent initial conditions
Lyapunov function
Itô formula
Brownian motion
Nontrivial solution
Practical exponential stability in mean square
Stabilization
description In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. Sufficient conditions on uniform exponential stability and practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems are obtained based upon Lyapunov techniques. Furthermore, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, we provide numerical examples to validate the effectiveness of the main results of this paper.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/130377
https://doi.org/10.1007/s11071-021-06620-y
url https://hdl.handle.net/11441/130377
https://doi.org/10.1007/s11071-021-06620-y
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Nonlinear Dynamics, 105 (1), 241-256.
https://doi.org/10.1007/s11071-021-06620-y
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869404406753001472
score 15,300719

Registos relacionados