Informace o publikaci
A note on geometric algebras and control problems with SO(3)-symmetries
| Autoři | |
|---|---|
| Rok publikování | 2024 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Mathematical Methods in the Applied Sciences |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://doi.org/10.1002/mma.8662 |
| Doi | http://dx.doi.org/10.1002/mma.8662 |
| Klíčová slova | Carnot groups; geometric algebras; local control and optimality; sub-Riemannian geodesics; symmetries |
| Popis | 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. |
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