Author(s) :
Tatjana Stykel
The paper is published :
Mathematics of Control, Signals, and Systems, 16: 297-319, 2004
MSC 2000
- 93A15 Large scale systems
-
15A24 Matrix equations and identities
Abstract :
Model reduction is of fundamental importance in many control
applications. We consider model reduction methods for linear
time-invariant continuous-time descriptor systems. These methods are
based on the balanced truncation technique and closely related
to the controllability and observability Gramians and Hankel singular
values of descriptor systems. The Gramians can be computed by solving
generalized Lyapunov equations with special right-hand sides.
Numerical examples are given.
Keywords :
Descriptor systems, Gramians, Hankel singular values, model reduction, balanced truncation