Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space
- Authors: Mashtakov A.P.1, Popov A.Y.1
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Affiliations:
- Program Systems Institute of RAS
- Issue: Vol 22, No 8 (2017)
- Pages: 949-954
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218841
- DOI: https://doi.org/10.1134/S1560354717080044
- ID: 218841
Cite item
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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