Abstract
An abstract version of the BC method is proposed as a chapter ofthe linear system theory dealing with dynamical systems withboundary control (DSBCs). A characterization of the responseoperator of DSBCs is given; a set of models (realizations) ofDSBCs determined by the response operator is presented. As anapplication, a conditional existence theorem characterizing thedynamical Dirichlet-to-Neumann map of the Riemannian manifold isobtained. An abstract analogue of theGelfand-Levitan-Krein-Marchenko equations is derived.
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