Stability of quaternionic linear systems

Detalhes bibliográficos
Autor(a) principal: Pereira, Ricardo
Data de Publicação: 2006
Outros Autores: 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/10773/8448
Resumo: The main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility and coprimeness are investigated. Having established these results, the Smith and the Smith-McMillan forms of quaternionic matrices are introduced and studied. Finally, all the tools that were developed are used to analyze stability of quaternionic linear systems in a behavioral framework.
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spelling Stability of quaternionic linear systemsstabilityquaternionsBehaviorsThe main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility and coprimeness are investigated. Having established these results, the Smith and the Smith-McMillan forms of quaternionic matrices are introduced and studied. Finally, all the tools that were developed are used to analyze stability of quaternionic linear systems in a behavioral framework.IEEE2012-05-04T13:53:24Z2006-01-01T00:00:00Z2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/8448eng0018-928610.1109/TAC.2005.864202Pereira, RicardoVettori, 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:10773/8448Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:44:49.401922Repositório 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 quaternionic linear systems
title Stability of quaternionic linear systems
spellingShingle Stability of quaternionic linear systems
Pereira, Ricardo
stability
quaternions
Behaviors
title_short Stability of quaternionic linear systems
title_full Stability of quaternionic linear systems
title_fullStr Stability of quaternionic linear systems
title_full_unstemmed Stability of quaternionic linear systems
title_sort Stability of quaternionic linear systems
author Pereira, Ricardo
author_facet Pereira, Ricardo
Vettori, Paolo
author_role author
author2 Vettori, Paolo
author2_role author
dc.contributor.author.fl_str_mv Pereira, Ricardo
Vettori, Paolo
dc.subject.por.fl_str_mv stability
quaternions
Behaviors
topic stability
quaternions
Behaviors
description The main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility and coprimeness are investigated. Having established these results, the Smith and the Smith-McMillan forms of quaternionic matrices are introduced and studied. Finally, all the tools that were developed are used to analyze stability of quaternionic linear systems in a behavioral framework.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01T00:00:00Z
2006
2012-05-04T13:53:24Z
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/10773/8448
url http://hdl.handle.net/10773/8448
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0018-9286
10.1109/TAC.2005.864202
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 IEEE
publisher.none.fl_str_mv IEEE
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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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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