Applications of Laplace–Carleson embeddings to admissibility and controllability
(2014) In SIAM Journal of Control and Optimization 52(2). p.1299-1313- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4470467
- author
- Jacob, Birgit ; Partington, Jonathan R. and Pott, Sandra LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- semigroup system, controllability, admissibility, Hardy space, weighted, Bergman space, interpolation, Carleson measure
- in
- SIAM Journal of Control and Optimization
- volume
- 52
- issue
- 2
- pages
- 1299 - 1313
- publisher
- Society for Industrial and Applied Mathematics
- external identifiers
-
- wos:000335820200021
- scopus:84902686862
- ISSN
- 1095-7138
- DOI
- 10.1137/120894750
- language
- English
- LU publication?
- yes
- id
- b52b5954-2cc3-44b7-b95d-320dc1e1b3c9 (old id 4470467)
- date added to LUP
- 2016-04-01 09:49:26
- date last changed
- 2022-04-03 23:36:05
@article{b52b5954-2cc3-44b7-b95d-320dc1e1b3c9, abstract = {{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.}}, author = {{Jacob, Birgit and Partington, Jonathan R. and Pott, Sandra}}, issn = {{1095-7138}}, keywords = {{semigroup system; controllability; admissibility; Hardy space; weighted; Bergman space; interpolation; Carleson measure}}, language = {{eng}}, number = {{2}}, pages = {{1299--1313}}, publisher = {{Society for Industrial and Applied Mathematics}}, series = {{SIAM Journal of Control and Optimization}}, title = {{Applications of Laplace–Carleson embeddings to admissibility and controllability}}, url = {{http://dx.doi.org/10.1137/120894750}}, doi = {{10.1137/120894750}}, volume = {{52}}, year = {{2014}}, }