Publication details
Local control on quaternion Heisenberg group of dimension 7
| Authors | |
|---|---|
| Year of publication | 2026 |
| Type | Article in Periodical |
| Magazine / Source | MONATSHEFTE FUR MATHEMATIK |
| MU Faculty or unit | |
| Citation | |
| web | https://link.springer.com/article/10.1007/s00605-026-02170-w |
| Doi | https://doi.org/10.1007/s00605-026-02170-w |
| Keywords | Nilpotent algebra; Sub-Riemannian geodesic; Hamiltonian system; Lie symmetry group; Local control |
| Attached files | |
| Description | 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. |
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