An approach to the stability of reset switched systems using dynamics without reset

Detalhes bibliográficos
Autor(a) principal: Carapito, Ana C.
Data de Publicação: 2023
Outros Autores: Brás, Isabel, Rocha, Paula
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/40099
Resumo: In this paper, we consider switched linear systems that have jumps in the state (determined by a reset rule) at each switching instant. Those systems are called switched systems with state reset. We show that it is possible to analyze the state trajectories of a switched system with state reset by considering suitable switched systems without state resets, i.e., with continuous state trajectories. We establish sufficient conditions for the stability of switched systems with state reset using the associated systems without reset. Moreover, introducing some restrictions, we also derive simple algebraic stability conditions. The obtained results are used in numerical examples to show the effectiveness of the proposed approach.
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spelling An approach to the stability of reset switched systems using dynamics without resetLyapunov TheoryState resetSwitched systemStabilityIn this paper, we consider switched linear systems that have jumps in the state (determined by a reset rule) at each switching instant. Those systems are called switched systems with state reset. We show that it is possible to analyze the state trajectories of a switched system with state reset by considering suitable switched systems without state resets, i.e., with continuous state trajectories. We establish sufficient conditions for the stability of switched systems with state reset using the associated systems without reset. Moreover, introducing some restrictions, we also derive simple algebraic stability conditions. The obtained results are used in numerical examples to show the effectiveness of the proposed approach.Wiley2024-01-12T10:23:37Z2023-11-15T00:00:00Z2023-11-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/40099eng0170-421410.1002/mma.9483Carapito, Ana C.Brás, IsabelRocha, Paulainfo: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:RCAAP2024-02-22T12:18:19Zoai:ria.ua.pt:10773/40099Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:10:09.057597Repositório 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 An approach to the stability of reset switched systems using dynamics without reset
title An approach to the stability of reset switched systems using dynamics without reset
spellingShingle An approach to the stability of reset switched systems using dynamics without reset
Carapito, Ana C.
Lyapunov Theory
State reset
Switched system
Stability
title_short An approach to the stability of reset switched systems using dynamics without reset
title_full An approach to the stability of reset switched systems using dynamics without reset
title_fullStr An approach to the stability of reset switched systems using dynamics without reset
title_full_unstemmed An approach to the stability of reset switched systems using dynamics without reset
title_sort An approach to the stability of reset switched systems using dynamics without reset
author Carapito, Ana C.
author_facet Carapito, Ana C.
Brás, Isabel
Rocha, Paula
author_role author
author2 Brás, Isabel
Rocha, Paula
author2_role author
author
dc.contributor.author.fl_str_mv Carapito, Ana C.
Brás, Isabel
Rocha, Paula
dc.subject.por.fl_str_mv Lyapunov Theory
State reset
Switched system
Stability
topic Lyapunov Theory
State reset
Switched system
Stability
description In this paper, we consider switched linear systems that have jumps in the state (determined by a reset rule) at each switching instant. Those systems are called switched systems with state reset. We show that it is possible to analyze the state trajectories of a switched system with state reset by considering suitable switched systems without state resets, i.e., with continuous state trajectories. We establish sufficient conditions for the stability of switched systems with state reset using the associated systems without reset. Moreover, introducing some restrictions, we also derive simple algebraic stability conditions. The obtained results are used in numerical examples to show the effectiveness of the proposed approach.
publishDate 2023
dc.date.none.fl_str_mv 2023-11-15T00:00:00Z
2023-11-15
2024-01-12T10:23:37Z
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/10773/40099
url http://hdl.handle.net/10773/40099
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0170-4214
10.1002/mma.9483
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
repository.mail.fl_str_mv
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