Applications of Laplace–Carleson embeddings to admissibility and controllability
Författare
Summary, in English
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 q-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.
Avdelning/ar
Publiceringsår
2014
Språk
Engelska
Sidor
1299-1313
Publikation/Tidskrift/Serie
SIAM Journal of Control and Optimization
Volym
52
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
Society for Industrial and Applied Mathematics
Ämne
- Mathematics
Nyckelord
- semigroup system
- controllability
- admissibility
- Hardy space
- weighted
- Bergman space
- interpolation
- Carleson measure
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1095-7138