BIBO stability of 1-D hyperbolic boundary control systems
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918150150291456 |
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| author | Schwenninger, Felix L. Wierzba, Alexander A. |
| author_facet | Schwenninger, Felix L. Wierzba, Alexander A. |
| contents | We study the question of bounded-input bounded-output (BIBO) stability of a class of 1-D hyperbolic boundary control systems, which, in particular, contains distributed port-Hamiltonian systems. Exploiting the particular structure of the transfer function of these systems, we derive several sufficient conditions for BIBO stability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12697 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | BIBO stability of 1-D hyperbolic boundary control systems Schwenninger, Felix L. Wierzba, Alexander A. Optimization and Control Analysis of PDEs Functional Analysis 93C20, 93D25, 93C05, 35L04, 37K45 We study the question of bounded-input bounded-output (BIBO) stability of a class of 1-D hyperbolic boundary control systems, which, in particular, contains distributed port-Hamiltonian systems. Exploiting the particular structure of the transfer function of these systems, we derive several sufficient conditions for BIBO stability. |
| title | BIBO stability of 1-D hyperbolic boundary control systems |
| topic | Optimization and Control Analysis of PDEs Functional Analysis 93C20, 93D25, 93C05, 35L04, 37K45 |
| url | https://arxiv.org/abs/2410.12697 |