Boundary feedback control for hyperbolic 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_ | 1866909464442961920 |
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| author | Herty, Michael Thein, Ferdinand |
| author_facet | Herty, Michael Thein, Ferdinand |
| contents | We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in $\mathbb{R}^d$. Using a Lyapunov function with a suited weight function depending on the system under consideration we show stabilization in $L^2$ for the studied system using a suitable feedback control. Therefore the controllability of the studied system is related to the feasibility of an associated linear matrix inequality.We show the applicability discussing the barotropic Euler equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_05598 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundary feedback control for hyperbolic systems Herty, Michael Thein, Ferdinand Optimization and Control Analysis of PDEs 35L50, 35Q93, 93D05 We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in $\mathbb{R}^d$. Using a Lyapunov function with a suited weight function depending on the system under consideration we show stabilization in $L^2$ for the studied system using a suitable feedback control. Therefore the controllability of the studied system is related to the feasibility of an associated linear matrix inequality.We show the applicability discussing the barotropic Euler equations. |
| title | Boundary feedback control for hyperbolic systems |
| topic | Optimization and Control Analysis of PDEs 35L50, 35Q93, 93D05 |
| url | https://arxiv.org/abs/2303.05598 |