Symmetries in geometric control theory using Maple
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Mathematics and Computers in Simulation |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1016/j.matcom.2021.05.034 |
| 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 |
| Description | 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. |
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