| HRDINA, Jaroslav, Aleš NÁVRAT, Petr VAŠÍK and Lenka ZALABOVÁ. A note on geometric algebras and control problems with SO(3)-symmetries. Mathematical Methods in the Applied Sciences. Wiley, 2024, vol. 47, No 3, p. 1257-1273. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.8662. |
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@article{2355844,
author = {Hrdina, Jaroslav and Návrat, Aleš and Vašík, Petr and Zalabová, Lenka},
article_number = {3},
doi = {http://dx.doi.org/10.1002/mma.8662},
keywords = {Carnot groups; geometric algebras; local control and optimality; sub-Riemannian geodesics; symmetries},
language = {eng},
issn = {0170-4214},
journal = {Mathematical Methods in the Applied Sciences},
title = {A note on geometric algebras and control problems with SO(3)-symmetries},
url = {https://doi.org/10.1002/mma.8662},
volume = {47},
year = {2024}
}
TY - JOUR
ID - 2355844
AU - Hrdina, Jaroslav - Návrat, Aleš - Vašík, Petr - Zalabová, Lenka
PY - 2024
TI - A note on geometric algebras and control problems with SO(3)-symmetries
JF - Mathematical Methods in the Applied Sciences
VL - 47
IS - 3
SP - 1257-1273
EP - 1257-1273
PB - Wiley
SN - 01704214
KW - Carnot groups
KW - geometric algebras
KW - local control and optimality
KW - sub-Riemannian geodesics
KW - symmetries
UR - https://doi.org/10.1002/mma.8662
N2 - 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.
ER -
HRDINA, Jaroslav, Aleš NÁVRAT, Petr VAŠÍK and Lenka ZALABOVÁ. A note on geometric algebras and control problems with SO(3)-symmetries. \textit{Mathematical Methods in the Applied Sciences}. Wiley, 2024, vol.~47, No~3, p.~1257-1273. ISSN~0170-4214. Available from: https://dx.doi.org/10.1002/mma.8662.
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