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Publication details
A note on geometric algebras and control problems with SO(3)-symmetries
Authors | |
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Year of publication | 2024 |
Type | Article in Periodical |
Magazine / Source | Mathematical Methods in the Applied Sciences |
MU Faculty or unit | |
Citation | |
Web | https://doi.org/10.1002/mma.8662 |
Doi | http://dx.doi.org/10.1002/mma.8662 |
Keywords | Carnot groups; geometric algebras; local control and optimality; sub-Riemannian geodesics; symmetries |
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). 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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