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.
Keywords:
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.
Citation:
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
\Bibitem{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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Linking options:
https://www.mathnet.ru/eng/rcd301
https://www.mathnet.ru/eng/rcd/v22/i8/p949
This publication is cited in the following 3 articles:
A. P. Mashtakov, A. Yu. Popov, “Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space”, Rus. J. Nonlin. Dyn., 16:1 (2020), 195–208
Alexey Mashtakov, 2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB), 2020, 1
A. P. Mashtakov, “Sub-Riemannian Geometry in Image Processing and Modeling of the Human Visual System”, Rus. J. Nonlin. Dyn., 15:4 (2019), 561–568
Citation in format AMSBIB
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