Applications of Laplace-Carleson embeddings to admissibility and controllability

Details Applications of Laplace-Carleson embeddings to admissibility and controllability Applications of Laplace-Carleson embeddings to admissibility and controllability

2012-03-12

arxiv.org/abs/1203.2666v1

Mathematics

Optimization and Control

17 pages

Scientific paper

It is shown how results on Carleson embeddings induced by the Laplace transform can be use to derive new and more general results concerning the weighted admissibility of control and observation operators for linear semigroup systems with q-Riesz bases of eigenvectors. Next, a new Carleson embedding result is proved, which gives further results on weighted admissibility for analytic semigroups. Finally, controllability by smoother inputs is characterised by means of a new result about weighted interpolation.

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