Constraint Algorithm for Extremals in Optimal Control Problems

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dc.creatorBarbero-Liñan, Maria
dc.creatorMuñoz-Lecanda, Miguel C.
dc.date2007-08-01
dc.date2008-02-06
dc.date.accessioned2026-07-07T09:18:42Z
dc.date.available2026-07-07T09:18:42Z
dc.descriptionA geometric method is described to characterize the different kinds of extremals in optimal control theory. This comes from the use of a presymplectic constraint algorithm starting from the necessary conditions given by Pontryagin's Maximum Principle. Apart from the design of this general algorithm useful for any optimal control problem, it is showed how it works to split the set of extremals and, in particular, to characterize the strict abnormality. An example of strict abnormal extremal for a particular control-affine system is also given.
dc.description15 pages. The introduction and the abstract have been modified. The paper has been significantly shortened. The previous examples have been substituted for a new example
dc.identifierhttps://arxiv.org/abs/0708.0102
dc.identifierhttp://arxiv.org/abs/0708.0102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154122
dc.subjectOptimization and Control
dc.subjectMathematical Physics
dc.subject34A26, 49J15, 49K15, 70G45, 70H05, 70H45
dc.titleConstraint Algorithm for Extremals in Optimal Control Problems
dc.typetext

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