Attainable sets for left invariant control systems and Carnot-Caratheodory metrics on nilpotent Lie groups

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dc.creatorGichev, V. M.
dc.date2000-03-29
dc.date.accessioned2026-07-07T04:34:31Z
dc.date.available2026-07-07T04:34:31Z
dc.descriptionLet $G$ be a semidirect product of a simply connected nilpotent Lie group and $\R$. For a left invariant control system on $G$ with a convex cone as a control domain, it is proved that the attainable sets coincides with a "halfspace" if the degree of contact of the with some special subspaces is sufficiently high.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0003203
dc.identifierhttp://arxiv.org/abs/math/0003203
dc.identifierProceedings of Conference "Analysis and Geometry" in honour of the 70th birthday of Professor Yu. G. Reshetnyak, Novosibirsk, Sobolev Inst. of Math, 2000, 173-185.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58931
dc.subjectOptimization and Control
dc.subjectMetric Geometry
dc.subject22E25; 93B03; 06F15; 49N35
dc.titleAttainable sets for left invariant control systems and Carnot-Caratheodory metrics on nilpotent Lie groups
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