Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/18700 |
Resumo: | We study the stability of a certain class of switched systems where discontinuous jumps (resets) on some of the state components are allowed, at the switching instants. It is known that, if all components of the state are available for reset, the system can be stabilizable by an adequate choice of resets. However, this question may have negative answer if there are forbidden state components for reset. We give a sufficient condition for the stabilizability of a switched system, under arbitrary switching, by partial state reset in terms of a block simultaneous triangularizability condition. Based on this sufficient condition, we show that the particular class of systems with partially commuting stable system matrices is stabilizable by partial state reset. We also provide an algorithm that allows testing whether a switched system belongs to this particular class of systems. |
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Stability of Simultaneously Block Triangularizable Switched Systems with Partial State ResetSwitched systemStabilityPartial resetSimultaneous block triangularizationWe study the stability of a certain class of switched systems where discontinuous jumps (resets) on some of the state components are allowed, at the switching instants. It is known that, if all components of the state are available for reset, the system can be stabilizable by an adequate choice of resets. However, this question may have negative answer if there are forbidden state components for reset. We give a sufficient condition for the stabilizability of a switched system, under arbitrary switching, by partial state reset in terms of a block simultaneous triangularizability condition. Based on this sufficient condition, we show that the particular class of systems with partially commuting stable system matrices is stabilizable by partial state reset. We also provide an algorithm that allows testing whether a switched system belongs to this particular class of systems.Taylor and Francis2017-11-03T09:48:45Z2017-03-04T00:00:00Z2017-03-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18700eng0020-717910.1080/00207179.2016.1183174Brás, IsabelRocha, PaulaCarapito, Ana Catarinainfo: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:RCAAP2024-02-22T11:36:13Zoai:ria.ua.pt:10773/18700Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:53:38.014668Repositório 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 Simultaneously Block Triangularizable Switched Systems with Partial State Reset |
title |
Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset |
spellingShingle |
Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset Brás, Isabel Switched system Stability Partial reset Simultaneous block triangularization |
title_short |
Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset |
title_full |
Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset |
title_fullStr |
Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset |
title_full_unstemmed |
Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset |
title_sort |
Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset |
author |
Brás, Isabel |
author_facet |
Brás, Isabel Rocha, Paula Carapito, Ana Catarina |
author_role |
author |
author2 |
Rocha, Paula Carapito, Ana Catarina |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Brás, Isabel Rocha, Paula Carapito, Ana Catarina |
dc.subject.por.fl_str_mv |
Switched system Stability Partial reset Simultaneous block triangularization |
topic |
Switched system Stability Partial reset Simultaneous block triangularization |
description |
We study the stability of a certain class of switched systems where discontinuous jumps (resets) on some of the state components are allowed, at the switching instants. It is known that, if all components of the state are available for reset, the system can be stabilizable by an adequate choice of resets. However, this question may have negative answer if there are forbidden state components for reset. We give a sufficient condition for the stabilizability of a switched system, under arbitrary switching, by partial state reset in terms of a block simultaneous triangularizability condition. Based on this sufficient condition, we show that the particular class of systems with partially commuting stable system matrices is stabilizable by partial state reset. We also provide an algorithm that allows testing whether a switched system belongs to this particular class of systems. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-11-03T09:48:45Z 2017-03-04T00:00:00Z 2017-03-04 |
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/10773/18700 |
url |
http://hdl.handle.net/10773/18700 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0020-7179 10.1080/00207179.2016.1183174 |
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 |
Taylor and Francis |
publisher.none.fl_str_mv |
Taylor and Francis |
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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1799137587898613760 |