A note on geometric algebras and control problems with SO(3)-symmetries
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU145458" target="_blank" >RIV/00216305:26210/22:PU145458 - isvavai.cz</a>
Result on the web
<a href="http://doi.10.1002/mma.8662" target="_blank" >http://doi.10.1002/mma.8662</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.8662" target="_blank" >10.1002/mma.8662</a>
Alternative languages
Result language
angličtina
Original language name
A note on geometric algebras and control problems with SO(3)-symmetries
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Methods in the Applied Sciences
ISSN
0170-4214
e-ISSN
1099-1476
Volume of the periodical
47
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
17
Pages from-to
1257-1273
UT code for WoS article
000847595500001
EID of the result in the Scopus database
2-s2.0-85137222761