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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Discrete Mathematics & Theoretical Computer Science
1997-12-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Online Access: | http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/88 |
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doaj-4fc8d3bdc09a4f72b6692885a12b65762020-11-25T01:09:45ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1462-72641365-80501997-12-0111Controllability of affine right-invariant systems on solvable Lie groupsYuri L. SachkovThe 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. http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/88 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yuri L. Sachkov |
| spellingShingle |
Yuri L. Sachkov Controllability of affine right-invariant systems on solvable Lie groups Discrete Mathematics & Theoretical Computer Science |
| author_facet |
Yuri L. Sachkov |
| author_sort |
Yuri L. Sachkov |
| title |
Controllability of affine right-invariant systems on solvable Lie groups |
| title_short |
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_sort |
controllability of affine right-invariant systems on solvable lie groups |
| publisher |
Discrete Mathematics & Theoretical Computer Science |
| series |
Discrete Mathematics & Theoretical Computer Science |
| issn |
1462-7264 1365-8050 |
| publishDate |
1997-12-01 |
| 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. |
| url |
http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/88 |
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AT yurilsachkov controllabilityofaffinerightinvariantsystemsonsolvableliegroups |
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1725176865194246144 |