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Positive Operators and Stable Truncation
Peter Benner
Tobias Damm
Martin Redmann
Yolanda Rocio Rodriguez Cruz
出版
Max Planck Institute for Dynamics of Complex Technical Systems
, 2014
URL
http://books.google.com.hk/books?id=OEcOugEACAAJ&hl=&source=gbs_api
註釋
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.