Show simple item record

dc.contributor.authorFrankowska, Hélène
dc.contributor.authorTonon, Daniela
dc.date.accessioned2014-10-01T14:29:25Z
dc.date.available2014-10-01T14:29:25Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13974
dc.language.isoenen
dc.subjectMayer problemen
dc.subjectGoh transformationen
dc.subjectsingular optimal controlen
dc.subjectmaximum principleen
dc.subject.ddc519en
dc.titleThe Goh necessary optimality conditions for the Mayer problem with control constraintsen
dc.typeCommunication / Conférence
dc.contributor.editoruniversityotherInstitut de Mathématiques de Jussieu (IMJ) http://www.institut.math.jussieu.fr/ CNRS : UMR7586 – Université Pierre et Marie Curie (UPMC) - Paris VI – Université Paris VII - Paris Diderot;France
dc.description.abstractenThe well known Goh second order necessary optimality conditions in optimal control theory concern singular optimal controls taking values in the interior of a set of controls U. In this paper we investigate these conditions for the Mayer problem when U is a convex polytope or a closed subset of class C2 for an integrable optimal control u( ) that may take values in the boundary of U. This is indeed a frequent situation in optimal control and for this reason the understanding of this issue is crucial for the theory of second order optimality conditions. Applying the Goh transformation we derive necessary conditions on tangent subspace to U at u(t) for almost all t's. In the presence of an endpoint constraint, if the Mayer problem is calm, then similar second order necessary optimality conditions are satisfied whenever the maximum principle is abnormal. If it is normal, then analogous results hold true on some smaller subspaces.en
dc.identifier.citationpages538-543
dc.relation.ispartoftitleIEEE 52nd Annual Conference on Decision and Control (CDC), 2013 - Proceedings
dc.relation.ispartofpublnameIEEE
dc.relation.ispartofdate2013
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01067270
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.ispartofisbn978-1-4673-5714-2
dc.relation.conftitleIEEE 52nd Annual Conference on Decision and Control (CDC), 2013
dc.relation.confdate2013-12
dc.relation.confcityFirenze
dc.relation.confcountryItalie
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.identifier.doihttp://dx.doi.org/10.1109/CDC.2013.6759937


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record