Linear control systems on the homogeneous spaces of the Heisenberg group
Dynamical Systems
2022-11-09 v1
Abstract
Let H denote the 3-dimensional Heisenberg Lie group. The present paper classify all possible linear control systems on the homogeneous spaces of H through its closed subgroups and expose a detailed study on the control behavior (controllability property and control sets) of a particular dynamics evolving on a non simply connected homogeneous (state) space of dimension two.
Keywords
Cite
@article{arxiv.2211.03867,
title = {Linear control systems on the homogeneous spaces of the Heisenberg group},
author = {Adriano Da Silva and Okan Duman and Eyüp Kizil},
journal= {arXiv preprint arXiv:2211.03867},
year = {2022}
}