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math.DG2021
Note on geometric algebras and control problems with SO(3)-symmetries
Jaroslav Hrdina, Ales Navrat, Petr Vasik +1
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 invariant with resp…
math.DG2021
On symmetries of a sub--Riemannian structure with growth vector
Jaroslav Hrdina, Aleš Návrat, Lenka Zalabová
We study symmetries of specific left--invariant sub--Riemannian structure with filtration and their impact on sub--Riemannian geodesics of corresponding control problem. We…