MODEL REDUCTION OF BILINEAR SYSTEMS IN THE LOEWNER FRAMEWORK

被引：61

作者：

Antoulas, A. C. ^{[1
,2
]}

Gosea, I. V. ^{[2
]}

Ionita, A. C. ^{[3
]}

机构：

[1] Rice Univ, Dept Elect & Comp Engn, Houston, TX 77005 USA

[2] Jacobs Univ, Dept Comp Sci & Elect Engn, D-28759 Bremen, Germany

[3] The Mathworks, Natick, MA 01760 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2016年 / 38卷 / 05期

基金：

美国国家科学基金会;

关键词：

model reduction; bilinear control systems; Loewner matrix; barycentric formula; multivariate rational interpolation; multivariate state-space realizations; system identification; rational interpolation; Volterra series interpolation; DYNAMICAL-SYSTEMS; ORDER REDUCTION; NONLINEAR-SYSTEMS; INTERPOLATION;

D O I：

10.1137/15M1041432

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Loewner framework for model reduction is extended to the class of bilinear systems. The main advantage of this framework over existing ones is that the Loewner pencil introduces a trade-off between accuracy and complexity. Furthermore, through this framework, one can derive state-space models directly from input-output data without requiring initial system matrices. The recently introduced methodology of Volterra series interpolation is also addressed. Several numerical experiments illustrate the main features of this approach.

引用

页码：B889 / B916

页数：28

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