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Note on geometric algebras and control problems with SO(3)-symmetries
  • +1
  • Jaroslav Hrdina,
  • Aleš Návrat,
  • Petr Vašík,
  • Lenka Zalabova
Jaroslav Hrdina
Vysoke uceni technicke v Brne Fakulta strojniho inzenyrstvi
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Aleš Návrat
Vysoke uceni technicke v Brne Fakulta strojniho inzenyrstvi
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Petr Vašík
Vysoke uceni technicke v Brne
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Lenka Zalabova
Masaryk University
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Abstract

We study the role of symmetries in control systems by means of geometric algebra approach. We discuss two specific control problems on Carnot group of step 2 invariant with respect to the action of$SO(3). We understand geodesics as curves in suitable geometric algebras which allows us to asses an efficient algorithm for local control.

Peer review status:UNDER REVIEW

22 Nov 2021Submitted to Mathematical Methods in the Applied Sciences
23 Nov 2021Assigned to Editor
23 Nov 2021Submission Checks Completed
08 Dec 2021Reviewer(s) Assigned