Publication detail

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

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

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

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

Released

1. 2. 2024

Publisher

WILEY

Location

HOBOKEN

ISBN

1099-1476

Periodical

Mathematical Methods in the Applied Sciences

Year of study

47

Number

3

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1257

Pages to

1273

Pages count

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="1099-1476",
  url="http://doi.10.1002/mma.8662"
}