Detail publikace

A note on geometric algebras and control problems with SO(3)-symmetries

HRDINA, J. VAŠÍK, P. NÁVRAT, A. ZALABOVÁ, L.

Anglický název

A note on geometric algebras and control problems with SO(3)-symmetries

Typ

Článek WoS

Jazyk

en

Originální abstrakt

We study the role of symmetries in control systems through the geometric algebra approach. We discuss two specific control problems on Carnot groups of step 2 invariant with respect to the action of SO(3)$$ SO(3) $$. We understand the geodesics as the curves in suitable geometric algebras which allows us to assess a new algorithm for the local control.

Klíčová slova anglicky

Carnot groups; geometric algebras; local control and optimality; sub-Riemannian geodesics; symmetries

Vydáno

2024-02-01

Nakladatel

WILEY

Místo

HOBOKEN

ISSN

1099-1476

Ročník

47

Číslo

3

Strany od–do

1257–1273

Počet stran

17

BIBTEX


@article{BUT179027,
  author="Jaroslav {Hrdina} and Petr {Vašík} and Aleš {Návrat} and Lenka {Zalabová}",
  title="A note on geometric algebras and control problems with SO(3)-symmetries",
  journal="MATHEMATICAL METHODS IN THE APPLIED SCIENCES",
  year="2024",
  volume="47",
  number="3",
  pages="1257--1273",
  doi="10.1002/mma.8662",
  issn="0170-4214",
  url="http://doi.10.1002/mma.8662"
}