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Symbolic computation of variational symmetries in optimal control

2006Journal article Open access
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dc.contributor.authorGouveia, Paulo D.F.
dc.contributor.authorTorres, Delfim F.M.
dc.contributor.authorRocha, Eugénio A.M.
dc.date.accessioned2010-02-01T21:48:21Z
dc.date.available2010-02-01T21:48:21Z
dc.date.issued2006
dc.description.abstractWe use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether’s first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for the sub-Riemannian nilpotent problem (2, 3, 5, 8).pt
dc.description.sponsorshipThe support from the control theory group (cotg) of the R&D unit CEOC is here acknowledged. PG was also supported by the program PRODEP III/5.3/2003; DT and ER by the research project “Advances in Nonlinear Control and Calculus of Variations” POCTI/MAT/41683/2001. The authors are grateful to two anonymous referees for valuable comments and suggestions.
dc.identifier.citationGouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M. (2006). Symbolic computation of variational symmetries in optimal control. Control & Cybernetics. ISSN 0324-8569. 35:4, p. 831-849pt
dc.identifier.issn0324-8569
dc.identifier.urihttp://hdl.handle.net/10198/1648
dc.language.isoengpt
dc.publisherSystems Research Institute of the Polish Academy of Sciencespt
dc.relationAdvances in Nonlinear Control and Calculus of Variations
dc.subjectVariational symmetriespt
dc.subjectGauge termpt
dc.subjectNonconservative forcespt
dc.subjectComputer algebra systemspt
dc.subjectNoether’s theorempt
dc.subjectFirst integralspt
dc.subjectOptimal controlpt
dc.titleSymbolic computation of variational symmetries in optimal controlpt
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleAdvances in Nonlinear Control and Calculus of Variations
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/POCI/POCTI%2FMAT%2F41683%2F2001/PT
oaire.citation.endPage849pt
oaire.citation.issue35(4)pt
oaire.citation.startPage831pt
oaire.citation.titleControl & Cyberneticspt
oaire.fundingStreamPOCI
person.familyNameGouveia
person.givenNamePaulo D.F.
person.identifier.orcid0000-0003-3049-6230
person.identifier.scopus-author-id20433578000
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt
rcaap.typearticlept
relation.isAuthorOfPublication41c37437-90c4-4e40-893b-44fe4ae1f159
relation.isAuthorOfPublication.latestForDiscovery41c37437-90c4-4e40-893b-44fe4ae1f159
relation.isProjectOfPublicationa6ece8ac-c2bf-4535-9240-5b92d0c7d6e8
relation.isProjectOfPublication.latestForDiscoverya6ece8ac-c2bf-4535-9240-5b92d0c7d6e8

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