Singular reduction for nonlinear control systems

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dc.creatorSniatycki, Jedrzej
dc.date2003-05-06
dc.date.accessioned2026-07-07T04:57:48Z
dc.date.available2026-07-07T04:57:48Z
dc.descriptionWe discuss smooth nonlinear control systems with symmetry. For a free and proper action of the symmetry group, the reduction of symmetry gives rise to a reduced smooth nonlinear control system. If the action of the symmetry group is only proper, the reduced nonlinear control system need not be smooth. Using the smooth calculus on nonsmooth spaces, provided by the theory of differential spaces of Sikorski, we prove a generalization of Sussmann's theorem on orbits of families of smooth vector fields.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0305098
dc.identifierhttp://arxiv.org/abs/math/0305098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67390
dc.subjectDifferential Geometry
dc.subject58A40; 93B03
dc.titleSingular reduction for nonlinear control systems
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