Аннотация:
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.
Ключевые слова:
sub-Riemannian geometry, special Euclidean motion group, extremal controls.
This work was supported by the Russian Science Foundation under grant 17-11-01387 and performed at the
Ailamazyan Program Systems Institute of the Russian Academy of Sciences.
Поступила в редакцию: 17.08.2017 Принята в печать: 01.11.2017
Образец цитирования:
Alexey P. Mashtakov, A. Yu. Popov, “Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space”, Regul. Chaotic Dyn., 22:8 (2017), 949–954
\RBibitem{MasPop17}
\by Alexey P. Mashtakov, A.~Yu.~Popov
\paper Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 8
\pages 949--954
\mathnet{http://mi.mathnet.ru/rcd301}
\crossref{https://doi.org/10.1134/S1560354717080044}
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