Detail publikačního výsledku

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

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

Originální název

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

Anglický název

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

Druh

Článek WoS

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

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2024

Vydáno

01.02.2024

Nakladatel

WILEY

Místo

HOBOKEN

ISSN

1099-1476

Periodikum

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Svazek

47

Číslo

3

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1257

Strany do

1273

Strany počet

17

URL

http://doi.10.1002/mma.8662

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"
}