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

Alexey Mashtakov; Anton Popov

arxiv: 1805.08537 · v1 · pith:WMRJJLY4new · submitted 2018-05-22 · 🧮 math.OC

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

Alexey Mashtakov , Anton Popov This is my paper

classification 🧮 math.OC

keywords controlseuclideanextremalgroupmotionsproblemspacesub-riemannian

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

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

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