Dimension reduction for second-order systems by general orthogonal polynomials

被引：14

作者：

Xiao, Zhi-Hua ^{[1
]}

Jiang, Yao-Lin ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS | 2014年 / 20卷 / 04期

关键词：

orthogonal polynomials; second-order system; dimension reduction; stability; MODEL-ORDER REDUCTION; RANK SMITH METHOD; BALANCED TRUNCATION;

D O I：

10.1080/13873954.2013.867274

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this article, we discuss the time-domain dimension reduction methods for second-order systems by general orthogonal polynomials, and present a structure-preserving dimension reduction method for second-order systems. The resulting reduced systems not only preserve the second-order structure but also guarantee the stability under certain conditions. The error estimate of the reduced models is also given. The effectiveness of the proposed methods is demonstrated by three test examples.

引用

页码：414 / 432

页数：19

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