A complete classification of control sets for singular linear control systems on the Heisenberg group
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911201596801024 |
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| author | Da Silva, Adriano Duman, Okan Rojas, Anderson F. P. |
| author_facet | Da Silva, Adriano Duman, Okan Rojas, Anderson F. P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08751 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A complete classification of control sets for singular linear control systems on the Heisenberg group Da Silva, Adriano Duman, Okan Rojas, Anderson F. P. Optimization and Control 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. |
| title | A complete classification of control sets for singular linear control systems on the Heisenberg group |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2510.08751 |