Flows of vector fields and the Kalman Theorem
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866915183878733824 |
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| author | Bagagiolo, Fabio Giannotti, Cristina Spiro, Andrea Zoppello, Marta |
| author_facet | Bagagiolo, Fabio Giannotti, Cristina Spiro, Andrea Zoppello, Marta |
| contents | We give two proofs of the Kalman Theorem, alternative to the most common ones, which infer such a classical result of Control Theory using just very basic facts on flows of vector fields. These proofs are apt to be generalised in diverse directions -- in fact one of them has been already generalised, yielding new criteria for local controllability of non-linear real analytic controlled systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07438 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flows of vector fields and the Kalman Theorem Bagagiolo, Fabio Giannotti, Cristina Spiro, Andrea Zoppello, Marta Optimization and Control Differential Geometry We give two proofs of the Kalman Theorem, alternative to the most common ones, which infer such a classical result of Control Theory using just very basic facts on flows of vector fields. These proofs are apt to be generalised in diverse directions -- in fact one of them has been already generalised, yielding new criteria for local controllability of non-linear real analytic controlled systems. |
| title | Flows of vector fields and the Kalman Theorem |
| topic | Optimization and Control Differential Geometry |
| url | https://arxiv.org/abs/2412.07438 |