Control sets of linear control systems on $\R^2$. The real case
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916141583040512 |
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| author | Ayala, Victor Da Silva, Adriano Rojas, Anderson F. P. |
| author_facet | Ayala, Victor Da Silva, Adriano Rojas, Anderson F. P. |
| contents | In this paper, we study the dynamical behavior of a linear control system on $\R^2$ when the associated matrix has real eigenvalues. Different from the complex case, we show that the position of the control zero relative to the control range can have a strong interference in such dynamics if the matrix is not invertible. In the invertible case, we explicitly construct the unique control set with a nonempty interior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Control sets of linear control systems on $\R^2$. The real case Ayala, Victor Da Silva, Adriano Rojas, Anderson F. P. Optimization and Control In this paper, we study the dynamical behavior of a linear control system on $\R^2$ when the associated matrix has real eigenvalues. Different from the complex case, we show that the position of the control zero relative to the control range can have a strong interference in such dynamics if the matrix is not invertible. In the invertible case, we explicitly construct the unique control set with a nonempty interior. |
| title | Control sets of linear control systems on $\R^2$. The real case |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2402.18269 |