标题： 一个Radon测度代数的冠定理及其在线性受控延迟差分方程精确能控性中的应用 显示英文标题

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

摘要： 本文证明了在$\mathbb{R}_-$中紧支撑的Radon测度代数的冠定理，并将此结果应用于提供线性受控延迟差分方程（LCDDE）的$L^1$精确能控性的Hautus型频率准则的充分必要条件。 由此，解决了文献[6]中提出的一个开放问题。 显示英文摘要

摘要： 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].