Detail publikačního výsledku

Symmetries in geometric control theory using Maple

HRDINA, J.; NÁVRAT, A.; ZALABOVÁ, L.

Original Title

Symmetries in geometric control theory using Maple

English Title

Symmetries in geometric control theory using Maple

Type

WoS Article

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.

English 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

Key words in English

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

Authors

HRDINA, J.; NÁVRAT, A.; ZALABOVÁ, L.

RIV year

2022

Released

01.12.2021

Publisher

ELSEVIER

Location

AMSTERDAM

ISBN

0378-4754

Periodical

MATHEMATICS AND COMPUTERS IN SIMULATION

Volume

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

Full text in the Digital Library

http://hdl.handle.net/

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"
}