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HRDINA, J. NÁVRAT, A. ZALABOVÁ, L.
Original Title
Symmetries in geometric control theory using Maple
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
Geometric control theory; Optimal transport; Sub-Riemannian geometry; Pontryagin's maximum principle; Nilpotent Lie group
Authors
HRDINA, J.; NÁVRAT, A.; ZALABOVÁ, L.
Released
1. 12. 2021
Publisher
ELSEVIER
Location
AMSTERDAM
ISBN
0378-4754
Periodical
Mathematics and Computers in Simulation
Year of study
190
Number
1
State
Kingdom of the Netherlands
Pages from
474
Pages to
493
Pages count
20
URL
http://10.1016/j.matcom.2021.05.034
BibTex
@article{BUT172472, author="Jaroslav {Hrdina} and Aleš {Návrat} and Lenka {Zalabová}", title="Symmetries in geometric control theory using Maple", journal="Mathematics and Computers in Simulation", year="2021", volume="190", number="1", pages="474--493", doi="10.1016/j.matcom.2021.05.034", issn="0378-4754", url="http://10.1016/j.matcom.2021.05.034" }