Comparative study on techniques of model order reduction using rational Krylov subspace method

被引：2

作者：

Saiduzzaman, Md ^{[1
]}

Islam, Md Shafiqul ^{[1
]}

Uddin, Mohammad Monir ^{[2
]}

Gani, Mohammad Osman ^{[3
]}

机构：

[1] Int Univ Business Agr & Technol IUBAT, Dept Quantitat Sci, Dhaka, Bangladesh

[2] North South Univ, Dept Math & Phys, Dhaka, Bangladesh

[3] Jahangirnagar Univ, Dept Math, Dhaka, Bangladesh

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 07期

关键词：

Model order reduction; Lyapunov equation; BT; PDEG; RKSM; BALANCED TRUNCATION;

D O I：

10.1080/09720502.2022.2133224

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present Model Reduction (MR) techniques of the 1st order system and 2nd order dynamical systems using the Balanced Truncation (BT) method [1, 2] and Projection onto the dominant Eigenspace of the Gramian (PDEG) method [3]. We get help from the well-known Rational Krylov Subspace Method (RKSM) [4] for BT and PDEG. We also mention the Lyapunov equations [1] with their solutions known as the system gramians. Finally, a comparison is shown between BT and PDEG methods using numerical experiments.

引用

页码：1971 / 1978

页数：8

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