Breiten, TobiasBeattie, ChristopherGugercin, SerkanMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292013https://epflicht.bibliothek.uni-halle.de/handle/123456789/3903870498681urn:nbn:de:gbv:3:2-642912482062Abstract: This paper extends an interpolatory framework for weighted-H2 model reduction to MIMO dynamical systems. A new representation of the weighted-H2 inner product in MIMO settings is presented together with associated first-order necessary conditions for an optimal weighted-H2 reduced-order model. Equivalence of these conditions with necessary conditions given by Halevi is shown. An examination of realizations for equivalent weighted-H2 systems leads to an algorithm that remains tractable for large state-space dimension. Several numerical examples illustrate the effectiveness of this approach and its competitiveness with Frequency Weighted Balanced Truncation and Weighted Iterative Rational Krylov Algorithm.1 Online-Ressource (24 Seiten = 0,95 MB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book