TY - GEN A1 - Reis, Timo A1 - Stykel, Tatjana T1 - Stability analysis and model order reduction for coupled systems N2 - 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. Y1 - 2005 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/253 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-2539 ER -