Geometry of Optimal Control for Control-Affine Systems

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dc.contributor.authorClelland, J.N.
dc.contributor.authorMoseley, C.G.
dc.contributor.authorWilkens, G.R.
dc.date.accessioned2019-02-19T18:35:52Z
dc.date.available2019-02-19T18:35:52Z
dc.date.issued2013
dc.description.abstractMotivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We compute local isometric invariants for point-affine distributions of constant type with metric structures for systems with 2 states and 1 control and systems with 3 states and 1 control, and use Pontryagin's maximum principle to find geodesic trajectories for homogeneous examples. Even in these low dimensions, the behavior of these systems is surprisingly rich and varied.uk_UA
dc.description.sponsorshipThis research was supported in part by NSF grants DMS-0908456 and DMS-1206272. We would like to thank the referees for many helpful suggestions, which significantly improved the organization and exposition of this paper.uk_UA
dc.identifier.citationGeometry of Optimal Control for Control-Affine Systems / J.N. Clelland, C.G. Moseley, G.R. Wilkens // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 6 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58A30; 53C17; 58A15; 53C10
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.034
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149206
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleGeometry of Optimal Control for Control-Affine Systemsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік