Geometric description of vakonomic and nonholonomic dynamics. Comparison of solutions

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dc.creatorCortes, Jorge
dc.creatorde Leon, Manuel
dc.creatorde Diego, David Martin
dc.creatorMartinez, Sonia
dc.date2000-06-24
dc.date.accessioned2026-07-07T04:36:04Z
dc.date.available2026-07-07T04:36:04Z
dc.descriptionWe treat the vakonomic dynamics with general constraints within a new geometric framework which will be appropriate to study optimal control problems. We compare our formulation with Vershik-Gershkovich one in the case of linear constraints. We show how nonholonomic mechanics also admits a new geometrical description wich enables us to develop an algorithm of comparison between the solutions of both dynamics. Some examples illustrating the theory are treated.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0006183
dc.identifierhttp://arxiv.org/abs/math/0006183
dc.identifierSIAM J Control Optim 41 (5) (2003), 1389-1412
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59468
dc.subjectDifferential Geometry
dc.subjectOptimization and Control
dc.subjectSymplectic Geometry
dc.subject34A26; 49K15; 70F25
dc.titleGeometric description of vakonomic and nonholonomic dynamics. Comparison of solutions
dc.typetext

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