15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
ESTIMATING GRAMIANS OF LARGE-SCALE TIME-VARYING SYSTEMS
Younes Chahlaoui,* Paul Van Dooren*
* Université catholique de Louvain, Belgium

In this paper we present a Smith-like updating technique to estimate a low rank approximation of the Gramians of a time-varying system. We obtain error estimates of our approximation and also explain how to use this for model reduction of time-varying systems.
Keywords: Model reduction, time-varying systems, Gramians
Session slot T-Th-E13: Large Scale Systems II/Area code 5a : Large Scale Systems