Laplace-Carleson embeddings and weighted infinite-time admissibility

2016/06/17 by Kucik, Andrzej
#30H20 #30H25 #47A57 #93B28 #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1606.05479

Abstract

In this paper we will establish necessary and sufficient conditions for a Laplace-Carleson embedding to be bounded for certain spaces of functions on the positive half-line. We will use these results to characterise weighted (infinite-time) admissibility of control and observation operators.

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