English

Laplace-Carleson embeddings and weighted infinite-time admissibility

Optimization and Control 2017-05-30 v3 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1606.05479,
  title  = {Laplace-Carleson embeddings and weighted infinite-time admissibility},
  author = {Andrzej Kucik},
  journal= {arXiv preprint arXiv:1606.05479},
  year   = {2017}
}