Control of Kawahara equation using flat outputs
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914871571906560 |
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| author | Capistrano-Filho, Roberto de A. da Silva, Jandeilson Santos |
| author_facet | Capistrano-Filho, Roberto de A. da Silva, Jandeilson Santos |
| contents | In this study we focused on the linear Kawahara equation in a bounded domain, employing two boundary controls. The controllability of this system has been previously demonstrated over the past decade using the Hilbert uniqueness method which involves proving an observability inequality, in general, demonstrated via Carleman estimates. Here, we extend this understanding by achieving the exact controllability within a space of analytic functions, employing the flatness approach which is a new approach for higher-order dispersive systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_10942 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Control of Kawahara equation using flat outputs Capistrano-Filho, Roberto de A. da Silva, Jandeilson Santos Analysis of PDEs Optimization and Control In this study we focused on the linear Kawahara equation in a bounded domain, employing two boundary controls. The controllability of this system has been previously demonstrated over the past decade using the Hilbert uniqueness method which involves proving an observability inequality, in general, demonstrated via Carleman estimates. Here, we extend this understanding by achieving the exact controllability within a space of analytic functions, employing the flatness approach which is a new approach for higher-order dispersive systems. |
| title | Control of Kawahara equation using flat outputs |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2407.10942 |