Perturbation theory of boundary value problems and approximate controllability of perturbed boundary control problems
Hadd, S.
Qing-Chang Zhong
Dept. of Electr. Eng.&Electron., Univ. of Liverpool, Liverpool;
This paper appears in: Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Publication Date: 9-11 Dec. 2008
On page(s): 1465-1470
Location: Cancun,
ISSN: 0191-2216
ISBN: 978-1-4244-3123-6
INSPEC Accession Number: 10442479
Digital Object Identifier: 10.1109/CDC.2008.4739281
Current Version Published: 2009-01-06
Abstract
A semigroup approach for the well-posedness of perturbed nonhomogeneous abstract boundary value problems is developed in this paper. This allows us to introduce a useful variation of constant formula for the solutions. Drawing from this formula, necessary and sufficient conditions for the approximate controllability of such systems are obtained, using the feedback theory of well-posed and regular linear systems developed by Salamon, Staffans and Weiss.
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