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Automatic computation of conservation laws in the calculus of variations and optimal control

2006Working paper Open access
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dc.contributor.authorGouveia, Paulo D.F.
dc.contributor.authorTorres, Delfim F.M.
dc.date.accessioned2010-02-17T17:04:15Z
dc.date.available2010-02-17T17:04:15Z
dc.date.issued2006
dc.descriptionComputer Applicationpt
dc.description.abstractWe present analytic computational tools that permit us to identify, in an automatic way, conservation laws in optimal control. The central result we use is the famous Noether's theorem, a classical theory developed by Emmy Noether in 1918, in the context of the calculus of variations and mathematical physics, and which was extended recently to the more general context of optimal control. We show how a Computer Algebra System can be very helpful in finding the symmetries and corresponding conservation laws in optimal control theory, thus making useful in practice the theoretical results recently obtained in the literature. A Maple implementation is provided and several illustrative examples given.pt
dc.identifier.citationGouveia, Paulo D.F.; Torres, Delfim F.M. (2006). Automatic computation of conservation laws in the calculus of variations and optimal control. Maple Application Centre.
dc.identifier.urihttp://hdl.handle.net/10198/1970
dc.language.isoengpt
dc.publisherMaplesoftpt
dc.relation.publisherversionhttp://www.maplesoft.com/applications/view.aspx?SID=4805pt
dc.subjectOptimal controlpt
dc.subjectCalculus of variationspt
dc.subjectComputer algebrapt
dc.subjectNoether’s theorempt
dc.subjectSymmetriespt
dc.subjectConservation lawspt
dc.titleAutomatic computation of conservation laws in the calculus of variations and optimal controlpt
dc.typeworking paper
dspace.entity.typePublication
oaire.citation.titleMaple Application Centrept
person.familyNameGouveia
person.givenNamePaulo D.F.
person.identifier.orcid0000-0003-3049-6230
person.identifier.scopus-author-id20433578000
rcaap.rightsopenAccesspt
rcaap.typeworkingPaperpt
relation.isAuthorOfPublication41c37437-90c4-4e40-893b-44fe4ae1f159
relation.isAuthorOfPublication.latestForDiscovery41c37437-90c4-4e40-893b-44fe4ae1f159

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