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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