Abstract
Some facts from the theory of boundary control systems in factor form are recalled. The existence of a transfer function modulo a compatibility- and H∞ assumption is proved. General forms (standard and distributional) of the input-output map are given. Two detailed transmission line examples illustrate how the theory can be applied. The general form of the Hankel operator is given as well as its relation to the input-output map. It is shown that boundary control systems in factor form lead naturally to regular Salamon-Weiss abstract linear systems with a well-defined state-space description.
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Grabowski, P., Callier, F.M. Boundary control systems in factor form: Transfer functions and input-output maps. Integr equ oper theory 41, 1–37 (2001). https://doi.org/10.1007/BF01202529
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DOI: https://doi.org/10.1007/BF01202529