Benner, PeterDamm, TobiasRedmann, MartinCruz, Yolanda Rocio RodriguezMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292014https://epflicht.bibliothek.uni-halle.de/handle/123456789/3925870654861urn:nbn:de:gbv:3:2-645292483132Abstract: We introduce a notion of balanced truncation for generalized Lyapunov operators and show that it preserves asymptotic stability. The proof relies on the theory of positive mappings and a result by Hans Schneider. Applications of our result can be found in model order reduction of stochastic linear systems.1 Online-Ressource (14 Seiten = 0,31 MB)enghttp://rightsstatements.org/vocab/InC/1.0/510Book