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 SO(3). We understand the geodesics as the curves in suitable geometric algebras which allows us to assess a new algorithm for the local control.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.