Input-to-state stability for bilinear feedback systems
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916124331868160 |
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| author | Hosfeld, René Jacob, Birgit Schwenninger, Felix Tucsnak, Marius |
| author_facet | Hosfeld, René Jacob, Birgit Schwenninger, Felix Tucsnak, Marius |
| contents | Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schrödinger equation, a Navier--Stokes system and a semilinear wave equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04563 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Input-to-state stability for bilinear feedback systems Hosfeld, René Jacob, Birgit Schwenninger, Felix Tucsnak, Marius Analysis of PDEs Functional Analysis Optimization and Control 93D06, 93D25, 93C10, 47J35, 35B35 Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schrödinger equation, a Navier--Stokes system and a semilinear wave equation. |
| title | Input-to-state stability for bilinear feedback systems |
| topic | Analysis of PDEs Functional Analysis Optimization and Control 93D06, 93D25, 93C10, 47J35, 35B35 |
| url | https://arxiv.org/abs/2303.04563 |