Examines optimal control on quaternion Heisenberg group geodesics, indicating new insights into their structure.
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.
No takes yet. Share an insight, caveat, or question.
Eisner et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: