Algebraic tools for the study of quaternionic behavioral systems
Autor(a) principal: | |
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Data de Publicação: | 2005 |
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/10773/8449 |
Resumo: | In this paper we study behavioral systems whose trajectories are given as solutions of quaternionic difference equations. As happens in the commutative case, it turns out that quaternionic polynomial matrices play an important role in this context. Therefore we pay special attention to such matrices and derive new results concerning their Smith form. Based on these results, we obtain a characterization of system theoretic properties such as controllability and stability of a quaternionic behavior. |
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Algebraic tools for the study of quaternionic behavioral systemsLinear systemsQuaternionsBehavioral approachSmith formIn this paper we study behavioral systems whose trajectories are given as solutions of quaternionic difference equations. As happens in the commutative case, it turns out that quaternionic polynomial matrices play an important role in this context. Therefore we pay special attention to such matrices and derive new results concerning their Smith form. Based on these results, we obtain a characterization of system theoretic properties such as controllability and stability of a quaternionic behavior.Elsevier2012-05-04T14:07:55Z2005-01-01T00:00:00Z2005info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/8449eng0024-379510.1016/j.laa.2005.01.008Pereira, RicardoRocha, PaulaVettori, Paoloinfo: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:RCAAP2024-02-22T11:12:00Zoai:ria.ua.pt:10773/8449Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:44:49.446754Repositório 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 |
Algebraic tools for the study of quaternionic behavioral systems |
title |
Algebraic tools for the study of quaternionic behavioral systems |
spellingShingle |
Algebraic tools for the study of quaternionic behavioral systems Pereira, Ricardo Linear systems Quaternions Behavioral approach Smith form |
title_short |
Algebraic tools for the study of quaternionic behavioral systems |
title_full |
Algebraic tools for the study of quaternionic behavioral systems |
title_fullStr |
Algebraic tools for the study of quaternionic behavioral systems |
title_full_unstemmed |
Algebraic tools for the study of quaternionic behavioral systems |
title_sort |
Algebraic tools for the study of quaternionic behavioral systems |
author |
Pereira, Ricardo |
author_facet |
Pereira, Ricardo Rocha, Paula Vettori, Paolo |
author_role |
author |
author2 |
Rocha, Paula Vettori, Paolo |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Pereira, Ricardo Rocha, Paula Vettori, Paolo |
dc.subject.por.fl_str_mv |
Linear systems Quaternions Behavioral approach Smith form |
topic |
Linear systems Quaternions Behavioral approach Smith form |
description |
In this paper we study behavioral systems whose trajectories are given as solutions of quaternionic difference equations. As happens in the commutative case, it turns out that quaternionic polynomial matrices play an important role in this context. Therefore we pay special attention to such matrices and derive new results concerning their Smith form. Based on these results, we obtain a characterization of system theoretic properties such as controllability and stability of a quaternionic behavior. |
publishDate |
2005 |
dc.date.none.fl_str_mv |
2005-01-01T00:00:00Z 2005 2012-05-04T14:07:55Z |
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/10773/8449 |
url |
http://hdl.handle.net/10773/8449 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0024-3795 10.1016/j.laa.2005.01.008 |
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 |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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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1799137500605710336 |