Geometric aspects of the Maximum Principle and lifts over a bundle map

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dc.creatorLangerock, B.
dc.date2002-12-04
dc.date.accessioned2026-07-07T04:53:31Z
dc.date.available2026-07-07T04:53:31Z
dc.descriptionA coordinate-free proof of the Maximum Principle is provided in the specific case of an optimal control problem with fixed time. Our treatment heavily relies on a special notion of variation of curves that consist of a concatenation of integral curves of time-dependent vector fields with unit time component, and on the use of a concept of lift over a bundle map. We further derive necessary and sufficient conditions for the existence of so-called abnormal and strictly abnormal extremals.
dc.description38p, accepted for publication in Acta Appl. Math
dc.identifierhttps://arxiv.org/abs/math/0212055
dc.identifierhttp://arxiv.org/abs/math/0212055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65879
dc.subjectDifferential Geometry
dc.subjectOptimization and Control
dc.subject49Kxx; 53Cxx
dc.titleGeometric aspects of the Maximum Principle and lifts over a bundle map
dc.typetext

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