Algebraic tools for the study of quaternionic behavioral systems

Detalhes bibliográficos
Autor(a) principal: Pereira, Ricardo
Data de Publicação: 2005
Outros Autores: Rocha, Paula, Vettori, Paolo
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.
id RCAP_ff1526392f0fd55afa5ddc31bed9dd9e
oai_identifier_str oai:ria.ua.pt:10773/8449
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling 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
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
_version_ 1799137500605710336

Registros relacionados