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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.NA2021
On multi-conditioned conic fitting in Geometric algebra for conics
Pavel Loučka, Petr Vašík
We introduce several modifications of conic fitting in Geometric algebra for conics by incorporating additional conditions into the optimisation problem. Each of these extra condit…
math.OC2021
Solver-free optimal control for Linear Dynamical Switched System by means of Geometric Algebra
Anna Derevianko, Petr Vašík
We design an algorithm for control of a linear switched system by means of Geometric Algebra. More precisely, we develop a switching path searching algorithm for a two-dimensional…