A complete classification of control sets for singular linear control systems on the Heisenberg group
Optimization and Control
2025-10-13 v1
Abstract
In this paper, we investigate the control sets of linear control systems on the Heisenberg group associated with singular derivations. Under the Lie algebra rank condition, we provide a complete characterization of these sets by analyzing the trace and determinant of an associated 2 \times 2 submatrix.
Keywords
Cite
@article{arxiv.2510.08751,
title = {A complete classification of control sets for singular linear control systems on the Heisenberg group},
author = {Adriano Da Silva and Okan Duman and Anderson F. P. Rojas},
journal= {arXiv preprint arXiv:2510.08751},
year = {2025}
}