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We propose a theoretical framework and an automated algorithm for the construction
of a parameterized reduced-order model of a general LTI system from its sampled input-output
responses. The model is cast as a parameterized rational function in Generalized Sanathanan-Koerner
form, which allows for implicit parameterization of the model poles. Our main result
is the guaranteed enforcement of uniform stability of the model in the parameter space
through a sufficient condition, which requires the (strict) positive realness of the
denominator subsystem. This condition is enforced through adaptive constraints during
the model construction loop. Several applications to the field of Electronic Design
Automation are presented.
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