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Note on geometric algebras and control problems with SO(3)-symmetries

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.

preprint2022arXivOpen access
Jaroslav HrdinaAles NavratPetr VasikLenka Zalabova
math.OCmath.DSmath.DG
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Open access4 authors3 topics
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Jaroslav HrdinaAles NavratPetr VasikLenka Zalabova

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