Author(s) :
Timo Reis
,
Tatjana Stykel
Preprint series :
Preprint 241, DFG Research Center Matheon, TU Berlin, 2005.
MSC 2000
- 34A09 Implicit equations, differential-algebraic equations
-
93D20 Asymptotic stability
Abstract :
In this paper we discuss the stability and model order reduction
of coupled linear time-invariant systems. Sufficient conditions
for a closed-loop system to be asymptotically stable are given.
We present a model reduction approach for coupled systems based on
reducing the order of the subsystems and coupling the reduced-order
subsystems by the same interconnection matrices as for the original
model. Such an approach allows to obtain error bounds for the
reduced-order closed-loop system in terms of the errors in the
reduced-order subsystems. Model reduction of coupled systems with
unstable subsystems is also considered. Numerical examples are given.
Keywords :
stability, model reduction, coupled systems, balanced truncation, coprime factorization