Abstract
AbstractIn this paper, we extendthe structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specifically, we give explicit construction formulae for the model reduction bases to satisfy different types of interpolation conditions. First, we establish the analysis for transfer function interpolation for single-input single-output structured bilinear systems. Then, we extend these results to the case of multi-input multi-output structured bilinear systems by matrix interpolation. The effectiveness of our structure-preserving approach is illustrated by means of various numerical examples.
Funder
Deutsche Forschungsgemeinschaft
Division of Mathematical Sciences
Simons Foundation
Max Planck Institute for Dynamics of Complex Technical Systems (MPI Magdeburg)
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
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