On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square

The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapuno...

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Autores: Caraballo Garrido, Tomás, Ezzine, Faten, Hammami, Mohamed Ali
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/130369
Acceso en línea:https://hdl.handle.net/11441/130369
https://doi.org/10.1007/s00245-020-09734-8
Access Level:acceso abierto
Palabra clave:Stochastic perturbed singular systems
Consistent initial conditions
Lyapunov techniques
Itô formula
Brownian motion
Nontrivial solution
Practical exponential stability in mean square
Stabilization
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spelling On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean SquareCaraballo Garrido, TomásEzzine, FatenHammami, Mohamed AliStochastic perturbed singular systemsConsistent initial conditionsLyapunov techniquesItô formulaBrownian motionNontrivial solutionPractical exponential stability in mean squareStabilizationThe approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. The uniform exponential stability in mean square and the practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems based on Lyapunov techniques are investigated. Moreover, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, an illustrative example is given to illustrate the effectiveness of the proposed results.SpringerEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/130369https://doi.org/10.1007/s00245-020-09734-8reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésApplied Mathematics & Optimization, 84 (3), 2923-2945.https://doi.org/10.1007/s00245-020-09734-8info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1303692026-06-17T12:51:07Z
dc.title.none.fl_str_mv On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
title On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
spellingShingle On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
Caraballo Garrido, Tomás
Stochastic perturbed singular systems
Consistent initial conditions
Lyapunov techniques
Itô formula
Brownian motion
Nontrivial solution
Practical exponential stability in mean square
Stabilization
title_short On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
title_full On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
title_fullStr On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
title_full_unstemmed On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
title_sort On the Exponential Stability of 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 Stochastic perturbed singular systems
Consistent initial conditions
Lyapunov techniques
Itô formula
Brownian motion
Nontrivial solution
Practical exponential stability in mean square
Stabilization
topic Stochastic perturbed singular systems
Consistent initial conditions
Lyapunov techniques
Itô formula
Brownian motion
Nontrivial solution
Practical exponential stability in mean square
Stabilization
description The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. The uniform exponential stability in mean square and the practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems based on Lyapunov techniques are investigated. Moreover, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, an illustrative example is given to illustrate the effectiveness of the proposed results.
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/11441/130369
https://doi.org/10.1007/s00245-020-09734-8
url https://hdl.handle.net/11441/130369
https://doi.org/10.1007/s00245-020-09734-8
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Applied Mathematics & Optimization, 84 (3), 2923-2945.
https://doi.org/10.1007/s00245-020-09734-8
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
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score 15,300719

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