Title :
Modified balanced truncation preserving ellipsoidal cone-invariance
Author :
Grussler, Christian ; Rantzer, Anders
Author_Institution :
Dept. of Autom. Control, Lund Univ., Lund, Sweden
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;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039749
