Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909199002238976 |
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| author | Chitour, Yacine Fueyo, Sébastien Mazanti, Guilherme Sigalotti, Mario |
| author_facet | Chitour, Yacine Fueyo, Sébastien Mazanti, Guilherme Sigalotti, Mario |
| contents | This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficient conditions for approximate and exact controllability, expressed in the frequency domain. The results are applied to flows in networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04088 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems Chitour, Yacine Fueyo, Sébastien Mazanti, Guilherme Sigalotti, Mario Optimization and Control This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficient conditions for approximate and exact controllability, expressed in the frequency domain. The results are applied to flows in networks. |
| title | Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2310.04088 |