A note on geometric algebras and control problems with SO(3)‐symmetries

Abstract

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 . We understand the geodesics as the curves in suitable geometric algebras which allows us to assess a new algorithm for the local control.

Survey of New Applications of Geometric Algebra

“…To spread the information about GA, authors integrate new methods and models with standard approaches. Thus, the connection between GA and control on Lie groups is discussed by Jaroslav Hrdina et al in 108 and Eduardo Bayro-Corrochano et al in 109 show the importance of the Hamiltonian in control theory in terms of GA.…”