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 v časopise ve Web of Science, Jimp
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.
Anglický 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
01.02.2024
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",
year="2024",
volume="47",
number="3",
month="February",
pages="1257--1273",
publisher="WILEY",
address="HOBOKEN",
issn="1099-1476"
}