Pré-Publication, Document De Travail Année : 2023

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

Sébastien Fueyo
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Résumé

This paper proves a corona theorem for the algebra of Radon measures compactly supported in $R_−$ 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].

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Dates et versions

hal-04310106 , version 1 (27-11-2023)
hal-04310106 , version 2 (05-01-2024)

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Sébastien Fueyo, Yacine Chitour. A corona theorem for an algebra of Radon measures with an application to exact controllability for linear controlled delayed difference equations. 2024. ⟨hal-04310106v2⟩
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