Gauge Symmetries and Noether Currents in Optimal Control

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dc.creatorTorres, Delfim F. M.
dc.date2003-01-11
dc.date.accessioned2026-07-07T04:54:24Z
dc.date.available2026-07-07T04:54:24Z
dc.descriptionWe extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m. As far as we consider a semi-invariance notion, and the transformation group may also depend on the control variables, the result is new even in the classical context of the calculus of variations.
dc.descriptionPartially presented at the 5th Portuguese Conference on Automatic Control (Controlo 2002), Aveiro, Portugal, September 5-7, 2002. Accepted for publication in Applied Mathematics E-Notes, Volume 3. See http://www.mat.ua.pt/delfim for other works
dc.identifierhttps://arxiv.org/abs/math/0301116
dc.identifierhttp://arxiv.org/abs/math/0301116
dc.identifierAppl. Math. E-Notes 3 (2003), 49--57 (electronic).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66239
dc.subjectOptimization and Control
dc.subject49K15; 49S05
dc.titleGauge Symmetries and Noether Currents in Optimal Control
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