Local control on quaternion Heisenberg group of dimension 7
Abstract We explicitly describe the quaternion Heisenberg group in the dimension 7 and we study the local (optimal) control of the compatible control system. We employ the Hamiltonian viewpoint to find sub-Riemannian geodesics of the corresponding sub-Riemannian structure, and we describe the impact of Lie symmetries on their optimality.
Authors
- Jan Eisner (ORCID: https://orcid.org/0000-0001-5046-8849)
- Lenka Zalabová
Institutions
- Sewanee: The University of the South (US)
- Masaryk University (CZ)
- University of South Bohemia in České Budějovice (CZ)
Publication Details
- Journal
- Monatshefte für Mathematik
- Published
- 2026-03-14
- DOI
- https://doi.org/10.1007/s00605-026-02170-w
- Primary Topic
- Control and Stability of Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Grantová Agentura České Republiky