A Symmetry Approach for Balanced Truncation of Positive Linear Systems

Titelangaben

Grußler, Christian ; Damm, Tobias:
A Symmetry Approach for Balanced Truncation of Positive Linear Systems.
In: Proceedings of the 51st IEEE Conference on Decision and Control Held in Maui, Hawaii, 2012. - Maui, Hawaii, USA : Institute of Electrical and Electronics Engineers (IEEE) , 2012 . - S. 4308-4313
ISBN 978-1-4673-2065-8
DOI: https://doi.org/10.1109/CDC.2012.6426442

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Abstract

We consider model order reduction of positive linear systems and show how a symmetry characterization can be used in order to preserve positivity in balanced
truncation. The reduced model has the additional feature of being symmetric.