(1) Fachbereich Mathematik, Universität Dortmund, 44221 Dortmund, Germany;(2) School of Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom
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.
