Controllability of affine right-invariant systems on solvable Lie groups
The aim of this paper is to present some recent results on controllability of right-invariant systems on Lie groups. From the Lie-theoretical point of view, we study conditions under which subsemigroups generated by half-planes in the Lie algebra of a Lie group coincide with the whole Lie group.
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
1997-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/245/pdf |
| _version_ | 1797270251466915840 |
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| author | Yuri L. Sachkov |
| author_facet | Yuri L. Sachkov |
| author_sort | Yuri L. Sachkov |
| collection | DOAJ |
| description | The aim of this paper is to present some recent results on controllability of right-invariant systems on Lie groups. From the Lie-theoretical point of view, we study conditions under which subsemigroups generated by half-planes in the Lie algebra of a Lie group coincide with the whole Lie group. |
| first_indexed | 2024-04-25T02:01:18Z |
| format | Article |
| id | doaj.art-f7bf3a79f79a499faf67e9becda0cdca |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:01:18Z |
| publishDate | 1997-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-f7bf3a79f79a499faf67e9becda0cdca2024-03-07T14:56:02ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80501997-01-01Vol. 110.46298/dmtcs.245245Controllability of affine right-invariant systems on solvable Lie groupsYuri L. Sachkov0Institut des Systèmes de Programmes/Program Systems Institute [Pereslavl-Zallessky]The aim of this paper is to present some recent results on controllability of right-invariant systems on Lie groups. From the Lie-theoretical point of view, we study conditions under which subsemigroups generated by half-planes in the Lie algebra of a Lie group coincide with the whole Lie group.https://dmtcs.episciences.org/245/pdflie groupcontrollabilityright-invariant system[info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Yuri L. Sachkov Controllability of affine right-invariant systems on solvable Lie groups Discrete Mathematics & Theoretical Computer Science lie group controllability right-invariant system [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Controllability of affine right-invariant systems on solvable Lie groups |
| title_full | Controllability of affine right-invariant systems on solvable Lie groups |
| title_fullStr | Controllability of affine right-invariant systems on solvable Lie groups |
| title_full_unstemmed | Controllability of affine right-invariant systems on solvable Lie groups |
| title_short | Controllability of affine right-invariant systems on solvable Lie groups |
| title_sort | controllability of affine right invariant systems on solvable lie groups |
| topic | lie group controllability right-invariant system [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/245/pdf |
| work_keys_str_mv | AT yurilsachkov controllabilityofaffinerightinvariantsystemsonsolvableliegroups |