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Quaternionic symmetry of linear dynamical systems

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Summary:In this paper we study a particular kind of symmetry of linear dynamical systems, the quaternionic symmetry. After giving some basic notions about quaternions and behavioral systems, we introduce and characterize linear systems with quaternionic symmetry. Finally we propose a state-space realization algorithm for input/output systems.
Main Authors:Pereira, Ricardo
Other Authors:Vettori, Paolo
Subject:Linear dynamical systems Symmetries Behavioral approach
Year:2007
Country:Portugal
Document type:conference output
Access type:restricted access
Associated institution:Universidade de Aveiro
Language:English
Origin:RIA - Repositório Institucional da Universidade de Aveiro
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author Pereira, Ricardo
author2 Vettori, Paolo
author2_role author
author_facet Pereira, Ricardo
Vettori, Paolo
author_role author
country_str PT
creators_json_txt [{\"Person.name\":\"Pereira, Ricardo\"},{\"Person.name\":\"Vettori, Paolo\"}]
datacite.creators.creator.creatorName.fl_str_mv Pereira, Ricardo
Vettori, Paolo
datacite.date.Accepted.fl_str_mv 2007-10-01T00:00:00Z
datacite.date.embargoed.fl_str_mv 10000-01-01T00:00:00Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_16ec
datacite.subjects.subject.fl_str_mv Linear dynamical systems
Symmetries
Behavioral approach
datacite.titles.title.fl_str_mv Quaternionic symmetry of linear dynamical systems
dc.creator.none.fl_str_mv Pereira, Ricardo
Vettori, Paolo
dc.date.Accepted.fl_str_mv 2007-10-01T00:00:00Z
dc.date.embargoed.fl_str_mv 10000-01-01T00:00:00Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv http://hdl.handle.net/10773/8491
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv IFAC
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_16ec
dc.subject.none.fl_str_mv Linear dynamical systems
Symmetries
Behavioral approach
dc.title.fl_str_mv Quaternionic symmetry of linear dynamical systems
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_c94f
description In this paper we study a particular kind of symmetry of linear dynamical systems, the quaternionic symmetry. After giving some basic notions about quaternions and behavioral systems, we introduce and characterize linear systems with quaternionic symmetry. Finally we propose a state-space realization algorithm for input/output systems.
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inst_facet_str urn:organizationAcronym:ua{{{_:::_}}}Universidade de Aveiro
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instname_str Universidade de Aveiro
language eng
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organization_str_mv urn:organizationAcronym:ua
person_str_mv Pereira, Ricardo
Vettori, Paolo
publishDate 2007
publisher.none.fl_str_mv IFAC
repo_facet_str urn:repositoryAcronym:ria{{{_:::_}}}RIA - Repositório Institucional da Universidade de Aveiro
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spelling porIn this paper we study a particular kind of symmetry of linear dynamical systems, the quaternionic symmetry. After giving some basic notions about quaternions and behavioral systems, we introduce and characterize linear systems with quaternionic symmetry. Finally we propose a state-space realization algorithm for input/output systems.application/pdfengIFACporQuaternionic symmetry of linear dynamical systemsPereira, RicardoVettori, PaoloHandlehttp://hdl.handle.net/10773/8491ISBNIsPartOf978-3-902661-36-4DOIIsPartOf10.3182/20071017-3-BR-2923.000612007-102007-10-01T00:00:00Z10000-01-01T00:00:00Zhttp://purl.org/coar/access_right/c_16ecrestricted accessporLinear dynamical systemsporSymmetriesporBehavioral approach130670 byteshttp://purl.org/coar/access_right/c_16ecapplication/pdffulltexthttps://ria.ua.pt/bitstream/10773/8491/1/PereVett226.pdfother research producthttp://purl.org/coar/resource_type/c_c94fconference object
spellingShingle Quaternionic symmetry of linear dynamical systems
Pereira, Ricardo
Linear dynamical systems
Symmetries
Behavioral approach
status SINGLETON
subject.fl_str_mv Linear dynamical systems
Symmetries
Behavioral approach
title Quaternionic symmetry of linear dynamical systems
title_full Quaternionic symmetry of linear dynamical systems
title_fullStr Quaternionic symmetry of linear dynamical systems
title_full_unstemmed Quaternionic symmetry of linear dynamical systems
title_short Quaternionic symmetry of linear dynamical systems
title_sort Quaternionic symmetry of linear dynamical systems
topic Linear dynamical systems
Symmetries
Behavioral approach
topic_facet Linear dynamical systems
Symmetries
Behavioral approach
url http://hdl.handle.net/10773/8491
visible 1

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