Stability of Switched Linear Differential Systems
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://repositorio-aberto.up.pt/handle/10216/110089 |
Resumo: | We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions. |
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Stability of Switched Linear Differential SystemsCiências da engenharia e tecnologiasEngineering and technologyWe study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions.20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://repositorio-aberto.up.pt/handle/10216/110089eng0018-928610.1109/tac.2014.2314521Jonathan Carlos Mayo-MaldonadoPaolo RapisardaPaula Rochainfo: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:RCAAP2023-11-29T12:36:10Zoai:repositorio-aberto.up.pt:10216/110089Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:23:19.405096Repositório 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 |
Stability of Switched Linear Differential Systems |
title |
Stability of Switched Linear Differential Systems |
spellingShingle |
Stability of Switched Linear Differential Systems Jonathan Carlos Mayo-Maldonado Ciências da engenharia e tecnologias Engineering and technology |
title_short |
Stability of Switched Linear Differential Systems |
title_full |
Stability of Switched Linear Differential Systems |
title_fullStr |
Stability of Switched Linear Differential Systems |
title_full_unstemmed |
Stability of Switched Linear Differential Systems |
title_sort |
Stability of Switched Linear Differential Systems |
author |
Jonathan Carlos Mayo-Maldonado |
author_facet |
Jonathan Carlos Mayo-Maldonado Paolo Rapisarda Paula Rocha |
author_role |
author |
author2 |
Paolo Rapisarda Paula Rocha |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Jonathan Carlos Mayo-Maldonado Paolo Rapisarda Paula Rocha |
dc.subject.por.fl_str_mv |
Ciências da engenharia e tecnologias Engineering and technology |
topic |
Ciências da engenharia e tecnologias Engineering and technology |
description |
We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014 2014-01-01T00:00:00Z |
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 |
https://repositorio-aberto.up.pt/handle/10216/110089 |
url |
https://repositorio-aberto.up.pt/handle/10216/110089 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0018-9286 10.1109/tac.2014.2314521 |
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.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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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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1799135534906343424 |