Publication detail

Symmetries in geometric control theory using Maple

HRDINA, J. NÁVRAT, A. ZALABOVÁ, L.

English title

Symmetries in geometric control theory using Maple

Type

WoS Article

Language

en

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 in English

Geometric control theory; Optimal transport; Sub-Riemannian geometry; Pontryagin's maximum principle; Nilpotent Lie group

Released

2021-12-01

Publisher

ELSEVIER

Location

AMSTERDAM

ISSN

0378-4754

Journal

MATHEMATICS AND COMPUTERS IN SIMULATION

Volume

190

Number

1

Pages from–to

474–493

Pages count

20

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"
}