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A corona theorem for an algebra of Radon measures with an application to exact controllability for linear controlled delayed difference equations

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].

preprint2024arXivOpen access
Sebastien FueyoYacine Chitour
math.OCmath.DS
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Sebastien FueyoYacine Chitour

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