Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

2017, Volume 22, Number 8, pp. 949–954

Author(s): Mashtakov A. P., Popov A. Y.

For the sub-Riemannian problem on the group of motions of Euclidean space we present explicit formulas for extremal controls in the special case where one of the initial momenta is fixed.

Keywords: sub-Riemannian geometry, special Euclidean motion group, extremal controls

Citation: Mashtakov A. P., Popov A. Y., Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space, Regular and Chaotic Dynamics, 2017, Volume 22, Number 8, pp. 949–954

DOI: 10.1134/S1560354717080044

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