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Applications of Laplace–Carleson embeddings to admissibility and controllability

På svenska

Author

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.

Publishing year

2014

Language

English

Pages

1299-1313

Publication/Series

SIAM Journal of Control and Optimization

Volume

52

Issue

2

Document type

Journal article

Publisher

Society for Industrial and Applied Mathematics

Topic

  • Mathematics

Keywords

  • semigroup system
  • controllability
  • admissibility
  • Hardy space
  • weighted
  • Bergman space
  • interpolation
  • Carleson measure

Status

Published

ISBN/ISSN/Other

  • ISSN: 1095-7138