Stability analysis and model order reduction of coupled systems

Timo Reis and Tatjana Stykel

Mathematical and Computer Modelling of Dynamical Systems, 2007, vol. 13, issue 5, 413-436

Abstract: In this paper we discuss the stability and model order reduction of coupled linear time-invariant descriptor systems. Sufficient conditions for the asymptotic stability of a closed-loop system are given. We present a model reduction approach for coupled systems based on reducing the order of the subsystems and coupling the reduced-order models through the same interconnection relations as for the original system. Such an approach allows us 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 or improper subsystems is also considered. Numerical examples are given.

Date: 2007
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Citations: View citations in EconPapers (4)

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DOI: 10.1080/13873950701189071

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