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Symmetric Positivity Preserving Balanced Truncation

Grussler, Christian LU and Damm, Tobias (2012) 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics In PAMM
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
in press
subject
keywords
Positive System, Balanced Truncation
in
PAMM
editor
(GAMM), Gesellschaft für Angewandte Mathematik und Mechanik
pages
2 pages
publisher
John Wiley & Sons
conference name
83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics
project
LCCC
language
English
LU publication?
yes
id
d04998c1-4bdb-4d63-aa1c-e76b618cf552 (old id 3163026)
date added to LUP
2012-11-05 12:12:25
date last changed
2016-04-16 09:22:14
@inproceedings{d04998c1-4bdb-4d63-aa1c-e76b618cf552,
  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.},
  author       = {Grussler, Christian and Damm, Tobias},
  booktitle    = {PAMM},
  editor       = {(GAMM), Gesellschaft für Angewandte Mathematik und Mechanik},
  keyword      = {Positive System,Balanced Truncation},
  language     = {eng},
  pages        = {2},
  publisher    = {John Wiley & Sons},
  title        = {Symmetric Positivity Preserving Balanced Truncation},
  year         = {2012},
}