Title
A new bound of the ℒ2[0, T]-induced norm and applications to model reduction
Abstract
We present a simple bound on the finite horizon L2[0, T]-induced norm of a linear time-invariant (LTI), not necessarily stable system which can be efficiently computed by calculating the H∞ norm of a shifted version of the original operator. As an application, we show how to use this bound to perform model reduction of unstable systems over a finite horizon. The technique is illustrated with a non-trivial physical example relevant to the appearance of time-irreversible phenomena in statistical physics.
Year
DOI
Venue
2002
10.1109/ACC.2002.1023179
American Control Conference, 2002. Proceedings of the 2002
Keywords
DocType
Volume
linear systems,matrix algebra,reduced order systems,H∞ norm,L2[0, T]-induced norm,finite horizon norm,linear time-invariant system,model reduction,statistical physics,time-irreversible phenomena,unstable systems
Conference
2
ISSN
ISBN
Citations 
0743-1619
0-7803-7298-0
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Sznaier, M.100.34
Doherty, A.C.200.34
Barahona, M.300.34
Mabuchi, H.400.34