DocumentCode
114824
Title
Modified balanced truncation preserving ellipsoidal cone-invariance
Author
Grussler, Christian ; Rantzer, Anders
Author_Institution
Dept. of Autom. Control, Lund Univ., Lund, Sweden
fYear
2014
fDate
15-17 Dec. 2014
Firstpage
2365
Lastpage
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.
Keywords
linear systems; stability; balanced truncation; ellipsoidal cone-invariance; linear system stability; model order reduction; Eigenvalues and eigenfunctions; Equations; Linear systems; Mathematical model; Reduced order systems; Standards; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location
Los Angeles, CA
Print_ISBN
978-1-4799-7746-8
Type
conf
DOI
10.1109/CDC.2014.7039749
Filename
7039749
Link To Document