Krylov subspace model order reduction of linear dynamical systems with quadratic output

被引：0

作者：

Bu, Yan-Ping ^{[1
]}

机构：

[1] Xian Traff Engn Inst, Xian 710300, Peoples R China

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2025年 / 47卷 / 05期

关键词：

Model order reduction; Krylov subspaces; quadratic transfer function; moment matching; BALANCED TRUNCATION;

D O I：

10.1177/01423312241257298

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents Krylov subspace model order reduction of linear dynamical systems with quadratic output. To reach this goal, the quadratic transfer function with two variables is taken into consideration. The Krylov subspaces are established at the finite and the infinite frequency points where both the one-sided and the two-sided projection cases are discussed. The moment matching is accordingly studied and the quadratic transfer function of the reduced system resulting from the two-sided projection case can match more moments. Finally, numerical results illustrate the performance of the proposed Krylov model order reduction methodology.

引用

页码：827 / 838

页数：12

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