A corona theorem for an algebra of Radon measures with an application to exact controllability for linear controlled delayed difference equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909062298337280 |
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| author | Fueyo, Sebastien Chitour, Yacine |
| author_facet | Fueyo, Sebastien Chitour, Yacine |
| contents | This paper proves a corona theorem for the algebra of Radon measures compactly supported in $\mathbb{R}_-$ and this result is applied to provide a necessary and sufficient Hautus--type frequency criterion for the $L^1$ exact controllability of linear controlled delayed difference equations (LCDDE). Hereby, it solves an open question raised in [6]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15915 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A corona theorem for an algebra of Radon measures with an application to exact controllability for linear controlled delayed difference equations Fueyo, Sebastien Chitour, Yacine Optimization and Control Dynamical Systems This paper proves a corona theorem for the algebra of Radon measures compactly supported in $\mathbb{R}_-$ and this result is applied to provide a necessary and sufficient Hautus--type frequency criterion for the $L^1$ exact controllability of linear controlled delayed difference equations (LCDDE). Hereby, it solves an open question raised in [6]. |
| title | A corona theorem for an algebra of Radon measures with an application to exact controllability for linear controlled delayed difference equations |
| topic | Optimization and Control Dynamical Systems |
| url | https://arxiv.org/abs/2311.15915 |