Publication detail

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

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

English title

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

Type

journal article in Web of Science

Language

en

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.

English 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 in English

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

Released

01.02.2024

Publisher

WILEY

Location

HOBOKEN

ISSN

1099-1476

Volume

47

Number

3

Pages from–to

1257–1273

Pages count

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"
}