Detailed Information on Publication Record
2024
A note on geometric algebras and control problems with SO(3)-symmetries
HRDINA, Jaroslav, Aleš NÁVRAT, Petr VAŠÍK and Lenka ZALABOVÁBasic information
Original name
A note on geometric algebras and control problems with SO(3)-symmetries
Authors
HRDINA, Jaroslav, Aleš NÁVRAT, Petr VAŠÍK and Lenka ZALABOVÁ (203 Czech Republic, belonging to the institution)
Edition
Mathematical Methods in the Applied Sciences, Wiley, 2024, 0170-4214
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 2.900 in 2022
Organization unit
Faculty of Science
UT WoS
000847595500001
Keywords in English
Carnot groups; geometric algebras; local control and optimality; sub-Riemannian geodesics; symmetries
Tags
Tags
International impact, Reviewed
Změněno: 22/1/2024 09:52, Mgr. Marie Šípková, DiS.
Abstract
V originále
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). We understand the geodesics as the curves in suitable geometric algebras which allows us to assess a new algorithm for the local control.
Links
| GA20-11473S, research and development project |
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