{"ID":2858408,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.08751","arxiv_id":"2510.08751","title":"A complete classification of control sets for singular linear control systems on the Heisenberg group","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.","short_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.","url_abs":"https://arxiv.org/abs/2510.08751","url_pdf":"https://arxiv.org/pdf/2510.08751v1","authors":"[\"Adriano Da Silva\",\"Okan Duman\",\"Anderson F. P. Rojas\"]","published":"2025-10-09T19:07:49Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}