Controllability of discrete-time linear systems on solvable Lie groups
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929379210166272 |
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| author | Cavalheiro, Thiago Santana, Alexandre Cossich, João Ayala, Victor |
| author_facet | Cavalheiro, Thiago Santana, Alexandre Cossich, João Ayala, Victor |
| contents | The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary and sufficient condition for controllability is established. Furthermore, the class of discrete-time linear systems in the two-dimensional affine Lie group is constructed and a condition for controllability of these systems is also stated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_00145 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Controllability of discrete-time linear systems on solvable Lie groups Cavalheiro, Thiago Santana, Alexandre Cossich, João Ayala, Victor Optimization and Control The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary and sufficient condition for controllability is established. Furthermore, the class of discrete-time linear systems in the two-dimensional affine Lie group is constructed and a condition for controllability of these systems is also stated. |
| title | Controllability of discrete-time linear systems on solvable Lie groups |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2302.00145 |