The chain control set of discrete-time linear system on the affine two-dimensional Lie group
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913280311689216 |
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| author | Cavalheiro, Thiago Santana, Alexandre Cossich, João |
| author_facet | Cavalheiro, Thiago Santana, Alexandre Cossich, João |
| contents | In this paper, we present conditions for the existence and uniqueness of chain control sets of discrete-time linear systems on the affine two-dimensional Lie group. More specifically, we prove that these chain control sets are given by the union of an infinite number of control sets with empty interiors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_08705 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The chain control set of discrete-time linear system on the affine two-dimensional Lie group Cavalheiro, Thiago Santana, Alexandre Cossich, João Optimization and Control In this paper, we present conditions for the existence and uniqueness of chain control sets of discrete-time linear systems on the affine two-dimensional Lie group. More specifically, we prove that these chain control sets are given by the union of an infinite number of control sets with empty interiors. |
| title | The chain control set of discrete-time linear system on the affine two-dimensional Lie group |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2304.08705 |