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hal.structure.identifierInstitut de Mathématiques de Bourgogne [Dijon] [IMB]
dc.contributor.authorCaillau, Jean-Baptiste
HAL ID: 2469
ORCID: 0000-0002-1719-2016
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorFejoz, Jacques
HAL ID: 1186124
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorOrieux, Michaël
hal.structure.identifierInstitut de Mathématiques de Bourgogne [Dijon] [IMB]
dc.contributor.authorRoussarie, Robert
HAL ID: 171534
ORCID: 0000-0001-8802-1241
dc.date.accessioned2023-02-10T12:17:57Z
dc.date.available2023-02-10T12:17:57Z
dc.date.issued2022
dc.identifier.issn0363-0129
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/24009
dc.language.isoenen
dc.subjectminimum timeen
dc.subjectnormal hyperbolicityen
dc.subjectregular-singular transitionen
dc.subjectcontrol switchingen
dc.subject.ddc515en
dc.titleOn Singularities of Minimum Time Control-Affine Systemsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversitytrue
dc.description.abstractenAffine control problems arise naturally from controlled mechanical systems. Building on previous results [Agrachev and Biolo, J. Dyn. Control Syst., 23 (2017), pp. 577--595; Caillau and Daoud, SIAM J. Control Optim., 50 (2012), pp. 3178--3202], we prove that, in the case of time minimization with control on the disk, the extremal flow given by Pontrjagin's maximum principle is smooth along the strata of a well-chosen stratification. We also study this flow in terms of regular-singular transition and prove that the singularity along time-minimizing extremals crossing these strata is at most logarithmic. We then apply these results to mechanical systems, paying special attention to the case of the controlled three-body problem.en
dc.relation.isversionofjnlnameSIAM Journal on Control and Optimization
dc.relation.isversionofjnlvol60en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2022
dc.relation.isversionofjnlpages1143-1162en
dc.relation.isversionofdoi10.1137/20M1366861en
dc.relation.isversionofjnlpublisherSIAM - Society for Industrial and Applied Mathematicsen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2023-02-10T12:13:29Z
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