Structure-preserving interpolation of bilinear control systems

被引：0
|
作者：
Peter Benner
Serkan Gugercin
Steffen W. R. Werner
机构：
[1] Max Planck Institute for Dynamics of Complex Technical Systems,Faculty of Mathematics
[2] Otto von Guericke University,Department of Mathematics and Computational Modeling and Data Analytics Division, Academy of Integrated Science
[3] Virginia Tech,undefined
来源：
Advances in Computational Mathematics | 2021年 / 47卷
关键词：
Model reduction; Bilinear systems; Structure-preserving approximation; Structured interpolation; 30E05; 34K17; 65D05; 93C10; 93A15; 93C35;
D O I：
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学科分类号：
摘要：
In 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.
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