On the determinant of quaternionic polynomial matrices and its application to system stability

Detalhes bibliográficos
Autor(a) principal: Pereira, Ricardo
Data de Publicação: 2008
Outros Autores: 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/10773/8447
Resumo: In this paper, we propose a definition of determinant for quaternionic, polynomial matrices inspired by the well-known Dieudonne determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding results which generalize the ones obtained for the real and complex cases.
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spelling On the determinant of quaternionic polynomial matrices and its application to system stabilityquaternionic polynomial matricesstabilityIn this paper, we propose a definition of determinant for quaternionic, polynomial matrices inspired by the well-known Dieudonne determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding results which generalize the ones obtained for the real and complex cases.John Wiley and Sons2012-05-04T13:34:18Z2008-01-01T00:00:00Z2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/8447eng0170-421410.1002/mma.901Pereira, RicardoRocha, 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:RCAAP2024-02-22T11:11:59Zoai:ria.ua.pt:10773/8447Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:44:49.273936Repositório 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 On the determinant of quaternionic polynomial matrices and its application to system stability
title On the determinant of quaternionic polynomial matrices and its application to system stability
spellingShingle On the determinant of quaternionic polynomial matrices and its application to system stability
Pereira, Ricardo
quaternionic polynomial matrices
stability
title_short On the determinant of quaternionic polynomial matrices and its application to system stability
title_full On the determinant of quaternionic polynomial matrices and its application to system stability
title_fullStr On the determinant of quaternionic polynomial matrices and its application to system stability
title_full_unstemmed On the determinant of quaternionic polynomial matrices and its application to system stability
title_sort On the determinant of quaternionic polynomial matrices and its application to system stability
author Pereira, Ricardo
author_facet Pereira, Ricardo
Rocha, Paula
author_role author
author2 Rocha, Paula
author2_role author
dc.contributor.author.fl_str_mv Pereira, Ricardo
Rocha, Paula
dc.subject.por.fl_str_mv quaternionic polynomial matrices
stability
topic quaternionic polynomial matrices
stability
description In this paper, we propose a definition of determinant for quaternionic, polynomial matrices inspired by the well-known Dieudonne determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding results which generalize the ones obtained for the real and complex cases.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01T00:00:00Z
2008
2012-05-04T13:34:18Z
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/10773/8447
url http://hdl.handle.net/10773/8447
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0170-4214
10.1002/mma.901
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 John Wiley and Sons
publisher.none.fl_str_mv John Wiley and Sons
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
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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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