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@article{1793078,
author = {Hrdina, Jaroslav and Návrat, Aleš and Zalabová, Lenka},
article_number = {December},
doi = {http://dx.doi.org/10.1016/j.matcom.2021.05.034},
keywords = {Geometric control theory; Optimal transport; Sub-Riemannian geometry; Pontryagin's maximum principle; Nilpotent Lie group},
language = {eng},
issn = {0378-4754},
journal = {Mathematics and Computers in Simulation},
title = {Symmetries in geometric control theory using Maple},
url = {https://doi.org/10.1016/j.matcom.2021.05.034},
volume = {190},
year = {2021}
}
TY - JOUR
ID - 1793078
AU - Hrdina, Jaroslav - Návrat, Aleš - Zalabová, Lenka
PY - 2021
TI - Symmetries in geometric control theory using Maple
JF - Mathematics and Computers in Simulation
VL - 190
IS - December
SP - 474-493
EP - 474-493
PB - Elsevier B.V.
SN - 03784754
KW - Geometric control theory
KW - Optimal transport
KW - Sub-Riemannian geometry
KW - Pontryagin's maximum principle
KW - Nilpotent Lie group
UR - https://doi.org/10.1016/j.matcom.2021.05.034
N2 - We focus on the role of symmetries in geometric control theory from the Hamiltonian viewpoint. We demonstrate the power of Ian Anderson's package Differential Geometry in CAS software Maple for dealing with control problems on Lie groups. We apply the tools to the problem of vertical rolling disc, however, anyone can modify our approach and tools to other control problems. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
ER -
HRDINA, Jaroslav, Aleš NÁVRAT a Lenka ZALABOVÁ. Symmetries in geometric control theory using Maple. \textit{Mathematics and Computers in Simulation}. Elsevier B.V., roč.~190, December, s.~474-493. ISSN~0378-4754. doi:10.1016/j.matcom.2021.05.034. 2021.
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