Geometric control theory of vertical rolling disc using symmetries
Differential Geometry
2019-08-12 v1
Abstract
We use the methods of geometric control theory to study extremal trajectories of vertical rolling disk. We focus on the role of symmetries of the underlying geometric structures. We demonstrate the computations in the CAS Maple package DifferentialGeometry.
Cite
@article{arxiv.1908.03352,
title = {Geometric control theory of vertical rolling disc using symmetries},
author = {Jaroslav Hrdina and Ales Navrat and Lenka Zalabova},
journal= {arXiv preprint arXiv:1908.03352},
year = {2019}
}