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math.OC2022★ 2 cited
Attainable set for rank 3 step 2 free Carnot group with positive controls
A. V. Podobryaev
We find the attainable set for a control system on the free Carnot group of rank and step with positive controls. This kind of control systems is connected with the theory…
math.DG2022★ 4 cited
Homogeneous geodesics in sub-Riemannian geometry
A. V. Podobryaev
We study homogeneous geodesics of sub-Riemannian manifolds, i.e., normal geodesics that are orbits of one-parametric subgroups of isometries. We obtain a criterion for a geodesic t…