The infinite-dimensional dissipation inequality
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915463021199360 |
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| author | Reis, Timo |
| author_facet | Reis, Timo |
| contents | We study the dissipativity of linear infinite-dimensional systems with respect to a prescribed quadratic supply rate functional. We characterize this property via an operator inequality that also yields the system's dissipation rate. We also derive implications for the linear-quadratic optimal control problem on the nonnegative real half-line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The infinite-dimensional dissipation inequality Reis, Timo Functional Analysis We study the dissipativity of linear infinite-dimensional systems with respect to a prescribed quadratic supply rate functional. We characterize this property via an operator inequality that also yields the system's dissipation rate. We also derive implications for the linear-quadratic optimal control problem on the nonnegative real half-line. |
| title | The infinite-dimensional dissipation inequality |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.18436 |