8 citations · 17 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
Geometric control theory of vertical rolling disc using symmetries
Jaroslav Hrdina, Ales Navrat, Lenka Zalabova
We use the methods of geometric control theory to study extremal trajectories of vertical rolling disk. We focus on the role of symmetries of the underlying geometric structures. W…
Local geometric control of a certain mechanism with the growth vector (4,7)
Jaroslav Hrdina, Lenka Zalabova
We study local control of the mechanism with the growth vector (4,7). We study controllability and extremal trajectories on the nilpotent approximation as an example of the control…
Submaximally Symmetric Almost Quaternionic Structures
Boris Kruglikov, Henrik Winther, Lenka Zalabova
The symmetry dimension of a geometric structure is the dimension of its symmetry algebra. We investigate symmetries of almost quaternionic structures of quaternionic dimension .…
Parabolic Symmetric Spaces
Lenka Zalabova
We study here systems of symmetries on --graded parabolic geometries. We are interested in smooth systems of symmetries and we discuss non--flat homogeneous --graded geom…
Symmetries of Parabolic Geometries
Lenka Zalabova
We generalize the concept of affine locally symmetric spaces for parabolic geometries. We discuss mainly --graded geometries and we show some restrictions on their curvature c…