Positive operators and stable truncation / Peter Benner, Tobias Damm, Martin Redmann, Yolanda Rocio Rodriguez Cruz
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Positive operators and stable truncation
Discovery
870654861
URN
urn:nbn:de:gbv:3:2-64529
DOI
ISBN
ISSN
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Skalierung
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, July 5, 2014
Content
1 Online-Ressource (14 Seiten = 0,31 MB)
Edition
Language
eng
Comment
Abstract
Abstract: 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.
Series
Max Planck Institute Magdeburg Preprints ; 14-11 ppn:870173030