
doi: 10.1137/0324015
Affine control systems defined by analytic vector fields are considered. The author individuates a subset of the Lie algebra associated to the system: the set of semicontrolled vector fields, which characterizes the strong controllability of the system. A method is given to determine some semicontrolled vector fields.
Controllability, Vector fields, frame fields in differential topology, Attainable sets, reachability, Lie algebra, semicontrolled vector fields, Affine control systems, strong controllability, Lie algebras and Lie superalgebras, Nonlinear systems in control theory, Controllability of vector fields on \(C^\infty\) and real-analytic manifolds
Controllability, Vector fields, frame fields in differential topology, Attainable sets, reachability, Lie algebra, semicontrolled vector fields, Affine control systems, strong controllability, Lie algebras and Lie superalgebras, Nonlinear systems in control theory, Controllability of vector fields on \(C^\infty\) and real-analytic manifolds
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