Left-coprimeness condition for the reachability in finite time of pseudo-rational systems of order zero with an application to difference delay systems
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909511260831744 |
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| author | Fueyo, Sébastien |
| author_facet | Fueyo, Sébastien |
| contents | The paper investigates the reachability in finite time of pseudo-rational systems of order zero. A bound on the minimal time of reachability is obtained and the reachability property for integrable functions is characterized in terms of a left-coprime condition. The results are applied to difference delay systems with distributed delays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12767 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Left-coprimeness condition for the reachability in finite time of pseudo-rational systems of order zero with an application to difference delay systems Fueyo, Sébastien Dynamical Systems The paper investigates the reachability in finite time of pseudo-rational systems of order zero. A bound on the minimal time of reachability is obtained and the reachability property for integrable functions is characterized in terms of a left-coprime condition. The results are applied to difference delay systems with distributed delays. |
| title | Left-coprimeness condition for the reachability in finite time of pseudo-rational systems of order zero with an application to difference delay systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2409.12767 |