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


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Abstract

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.

About the authors

Alexey P. Mashtakov

Program Systems Institute of RAS

Author for correspondence.
Email: alexey.mashtakov@gmail.com
Russian Federation, Yaroslavl Region, 152020

Anton Yu. Popov

Program Systems Institute of RAS

Email: alexey.mashtakov@gmail.com
Russian Federation, Yaroslavl Region, 152020

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