Author(s) :
Volker Mehrmann
,
Tatjana Stykel
Preprint series :
Technical Report N157, DFG Research Center Matheon, TU Berlin, 2004.
MSC 2000
- 93A15 Large scale systems
-
15A24 Matrix equations and identities
Abstract :
In this paper we give a survey on balanced truncation
model order reduction for linear time-invariant continuous-time
systems in descriptor form. We first give a brief overview of the
basis concepts from linear system theory and then present balanced
truncation model reduction methods for descriptor systems and
discuss their algorithmic aspects. The efficiency of these methods
is demonstrated by numerical experiments.
Keywords :
Descriptor systems, Gramians, Hankel singular values, model reduction, balanced truncation