Symmetric Positivity Preserving Balanced Truncation

Titelangaben

Grußler, Christian ; Damm, Tobias:
Symmetric Positivity Preserving Balanced Truncation.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 12 (2012) Heft 1 . - S. 717-718.
ISSN 1617-7061
DOI: https://doi.org/10.1002/pamm.201210347

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Abstract

We consider positivity preserving model order reduction of SISO linear systems. Whereas well-established model reduction methods usually do not result in a positive approximation, we show that a symmetry characterization of balanced truncation can be used to preserve positivity after performing balanced truncation. As a consequence, the method is independent of the initial realization and always returns a symmetric reduced model.