Webbläsaren som du använder stöds inte av denna webbplats. Alla versioner av Internet Explorer stöds inte längre, av oss eller Microsoft (läs mer här: * https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Var god och använd en modern webbläsare för att ta del av denna webbplats, som t.ex. nyaste versioner av Edge, Chrome, Firefox eller Safari osv.

Applications of Laplace–Carleson embeddings to admissibility and controllability

In English

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.

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