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Jaroslav Hrdina
Public Documents
1
Note on geometric algebras and control problems with SO(3)-symmetries
Jaroslav Hrdina
and 3 more
December 08, 2021
We study the role of symmetries in control systems by means of geometric algebra approach. We discuss two specific control problems on Carnot group of step 2 invariant with respect to the action of$SO(3). We understand geodesics as curves in suitable geometric algebras which allows us to asses an efficient algorithm for local control.