Symmetric Positivity Preserving Balanced Truncation
(2012) 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics- 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:
https://lup.lub.lu.se/record/3163026
- author
- Grussler, Christian LU and Damm, Tobias
- organization
- publishing date
- 2012
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- in press
- subject
- keywords
- Positive System, Balanced Truncation
- host publication
- PAMM
- editor
- (GAMM), Gesellschaft für Angewandte Mathematik und Mechanik
- pages
- 2 pages
- publisher
- John Wiley & Sons Inc.
- conference name
- 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics
- conference location
- Darmstadt, Germany
- conference dates
- 2012-03-26
- project
- LCCC
- language
- English
- LU publication?
- yes
- id
- d04998c1-4bdb-4d63-aa1c-e76b618cf552 (old id 3163026)
- date added to LUP
- 2016-04-04 11:32:25
- date last changed
- 2021-11-15 11:36:37
@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}}, keywords = {{Positive System; Balanced Truncation}}, language = {{eng}}, publisher = {{John Wiley & Sons Inc.}}, title = {{Symmetric Positivity Preserving Balanced Truncation}}, url = {{https://lup.lub.lu.se/search/files/5797358/3163069.pdf}}, year = {{2012}}, }