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Admissible control and observation operators for Volterra integral equations

Admissible control and observation operators for Volterra integral equations The admissibility of observation operators and control operators for linear Volterra systems is studied by means of the theory of composition operators on Hardy spaces.Under certain assumptions it is shown to be equivalent to admissibility for the classical Cauchy problem. A duality between control and observation operators is also established,extending known results for the Cauchy problem,which is a special case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Admissible control and observation operators for Volterra integral equations

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References (8)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Birkhäuser Verlag, Basel
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-004-0152-0
Publisher site
See Article on Publisher Site

Abstract

The admissibility of observation operators and control operators for linear Volterra systems is studied by means of the theory of composition operators on Hardy spaces.Under certain assumptions it is shown to be equivalent to admissibility for the classical Cauchy problem. A duality between control and observation operators is also established,extending known results for the Cauchy problem,which is a special case.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Sep 1, 2004

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