Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866916148064288768 |
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| author | Kunisch, Karl Wang, Gengsheng Yu, Huaiqiang |
| author_facet | Kunisch, Karl Wang, Gengsheng Yu, Huaiqiang |
| contents | A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition is necessary and sufficient for the stabilizability of special systems, while it is a necessary condition for the stabilizability in general. Applications are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15082 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems Kunisch, Karl Wang, Gengsheng Yu, Huaiqiang Optimization and Control 93D15, 93C25, 93C80, 93D20 A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition is necessary and sufficient for the stabilizability of special systems, while it is a necessary condition for the stabilizability in general. Applications are provided. |
| title | Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems |
| topic | Optimization and Control 93D15, 93C25, 93C80, 93D20 |
| url | https://arxiv.org/abs/2308.15082 |