On BIBO stability of infinite-dimensional linear state-space systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909074457624576 |
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| author | Schwenninger, Felix L. Wierzba, Alexander A. Zwart, Hans |
| author_facet | Schwenninger, Felix L. Wierzba, Alexander A. Zwart, Hans |
| contents | In this paper we consider BIBO stability of systems described by infinite-dimensional linear state-space representations, filling the so far unattended gap of a formal definition and characterization of BIBO stability in this general case. Furthermore, we provide several sufficient conditions guaranteeing BIBO stability of a particular system and discuss to which extent this property is preserved under additive and multiplicative perturbations of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_18148 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On BIBO stability of infinite-dimensional linear state-space systems Schwenninger, Felix L. Wierzba, Alexander A. Zwart, Hans Optimization and Control 93D25, 93C05, 47D06, 93C20 In this paper we consider BIBO stability of systems described by infinite-dimensional linear state-space representations, filling the so far unattended gap of a formal definition and characterization of BIBO stability in this general case. Furthermore, we provide several sufficient conditions guaranteeing BIBO stability of a particular system and discuss to which extent this property is preserved under additive and multiplicative perturbations of the system. |
| title | On BIBO stability of infinite-dimensional linear state-space systems |
| topic | Optimization and Control 93D25, 93C05, 47D06, 93C20 |
| url | https://arxiv.org/abs/2303.18148 |