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Modified balanced truncation preserving ellipsoidal cone-invariance

Grussler, Christian LU and Rantzer, Anders LU orcid (2014) 53rd IEEE Conference on Decision and Control p.2365-2370
Abstract
We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone- invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
IEEE Xplore Digital Library
pages
2365 - 2370
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
53rd IEEE Conference on Decision and Control
conference location
Los Angeles, CA, United States
conference dates
2014-12-15
external identifiers
  • scopus:84962008631
DOI
10.1109/CDC.2014.7039749
project
LCCC
language
English
LU publication?
yes
id
65b748a2-a694-4734-ab73-3aabdf2ea308 (old id 4926679)
date added to LUP
2016-04-04 14:35:35
date last changed
2023-11-18 15:32:13
@inproceedings{65b748a2-a694-4734-ab73-3aabdf2ea308,
  abstract     = {{We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone- invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.}},
  author       = {{Grussler, Christian and Rantzer, Anders}},
  booktitle    = {{IEEE Xplore Digital Library}},
  language     = {{eng}},
  pages        = {{2365--2370}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Modified balanced truncation preserving ellipsoidal cone-invariance}},
  url          = {{http://dx.doi.org/10.1109/CDC.2014.7039749}},
  doi          = {{10.1109/CDC.2014.7039749}},
  year         = {{2014}},
}