Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input

Detalhes bibliográficos
Autor(a) principal: Almeida, R.
Data de Publicação: 2021
Outros Autores: Hristova, S., Dashkovskiy, S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/30983
Resumo: The bounded input bounded output (BIBO) stability for a nonlinear Caputo fractional system with time-varying bounded delay and nonlinear output is studied. Utilizing the Razumikhin method, Lyapunov functions and appropriate fractional derivatives of Lyapunov functions some new bounded input bounded output stability criteria are derived. Also, explicit and independent on the initial time bounds of the output are provided. Uniform BIBO stability and uniform BIBO stability with input threshold are studied. A numerical simulation is carried out to show the system’s dynamic response, and demonstrate the effectiveness of our theoretical results.
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spelling Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with inputBounded input bounded output stabilityCaputo fractional derivativeLyapunov functionsRazumikhin methodTime-varying delayThe bounded input bounded output (BIBO) stability for a nonlinear Caputo fractional system with time-varying bounded delay and nonlinear output is studied. Utilizing the Razumikhin method, Lyapunov functions and appropriate fractional derivatives of Lyapunov functions some new bounded input bounded output stability criteria are derived. Also, explicit and independent on the initial time bounds of the output are provided. Uniform BIBO stability and uniform BIBO stability with input threshold are studied. A numerical simulation is carried out to show the system’s dynamic response, and demonstrate the effectiveness of our theoretical results.Wiley2021-03-23T09:29:44Z2021-01-10T00:00:00Z2021-01-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/30983eng1049-892310.1002/rnc.5273Almeida, R.Hristova, S.Dashkovskiy, S.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:59:47Zoai:ria.ua.pt:10773/30983Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:02:56.991866Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
title Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
spellingShingle Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
Almeida, R.
Bounded input bounded output stability
Caputo fractional derivative
Lyapunov functions
Razumikhin method
Time-varying delay
title_short Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
title_full Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
title_fullStr Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
title_full_unstemmed Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
title_sort Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
author Almeida, R.
author_facet Almeida, R.
Hristova, S.
Dashkovskiy, S.
author_role author
author2 Hristova, S.
Dashkovskiy, S.
author2_role author
author
dc.contributor.author.fl_str_mv Almeida, R.
Hristova, S.
Dashkovskiy, S.
dc.subject.por.fl_str_mv Bounded input bounded output stability
Caputo fractional derivative
Lyapunov functions
Razumikhin method
Time-varying delay
topic Bounded input bounded output stability
Caputo fractional derivative
Lyapunov functions
Razumikhin method
Time-varying delay
description The bounded input bounded output (BIBO) stability for a nonlinear Caputo fractional system with time-varying bounded delay and nonlinear output is studied. Utilizing the Razumikhin method, Lyapunov functions and appropriate fractional derivatives of Lyapunov functions some new bounded input bounded output stability criteria are derived. Also, explicit and independent on the initial time bounds of the output are provided. Uniform BIBO stability and uniform BIBO stability with input threshold are studied. A numerical simulation is carried out to show the system’s dynamic response, and demonstrate the effectiveness of our theoretical results.
publishDate 2021
dc.date.none.fl_str_mv 2021-03-23T09:29:44Z
2021-01-10T00:00:00Z
2021-01-10
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/30983
url http://hdl.handle.net/10773/30983
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1049-8923
10.1002/rnc.5273
dc.rights.driver.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 Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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