Applications of Laplace--Carleson Embeddings to Admissibility and Controllability
Applications of Laplace--Carleson Embeddings to Admissibility and Controllability
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拉普拉斯-卡尔森嵌入在可纳性和可控性中的应用
DOI：
10.1137/120894750
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发表时间：
2014
影响因子：
2.2
通讯作者：
Jacob B
中科院分区：
文献类型：
--
作者：
Jacob B
它示出了如何Carleson嵌入的结果诱导的拉普拉斯变换可以用来推导新的和更一般的结果有关的加权（无限时间）的容许性的控制和观测算子的线性半群系统与Riesz基地的特征向量。作为一个例子，考虑热方程。其次，证明了一个新的Carleson嵌入结果，进一步给出了解析半群的加权容许性结果。最后，光滑输入的可控性的特点是通过一个新的结果加权插值。
It is shown how results on Carleson embeddings induced by the Laplace transform can be used to derive new and more general results concerning the weighted (infinite-time) admissibility of control and observation operators for linear semigroup systems with-Riesz bases of eigenvectors. As an example, the heat equation is considered. Next, a new Carleson embedding result is proved, which gives further results on weighted admissibility for analytic semigroups. Finally, controllability by smoother inputs is characterized by means of a new result about weighted interpolation.