Symmetries in geometric control theory using Maple

Jaroslav Hrdina, Aleš Návrat and Lenka Zalabová

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 190, issue C, 474-493

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 DifferentialGeometry 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.

Keywords: Geometric control theory; Optimal transport; Sub-Riemannian geometry; Pontryagin’s maximum principle; Nilpotent Lie group (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:190:y:2021:i:c:p:474-493

DOI: 10.1016/j.matcom.2021.05.034

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