Second-order balanced truncation

被引：70

作者：

Chahlaoui, Y. ^{[1
]}

Lemonnier, D. ^{[1
]}

Vandendorpe, A. ^{[1
]}

Van Dooren, P. ^{[1
]}

机构：

[1] Univ Catholique Louvain, CESAME, Louvain, Belgium

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 415卷 / 2-3期

关键词：

model reduction; balanced truncation; second-order system;

D O I：

10.1016/j.laa.2004.03.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider second-order linear time-invariant systems. The objective of this paper is to present a new method for constructing a reduced system by preserving the second-order structure of the original system. This new model reduction method uses a variant of the well-known balanced truncation technique applied to second-order gramians. We also compare it with another existing technique. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：373 / 384

页数：12

共 7 条

[1]

Chahlaoui Y., 2002, A collection of benchmark examples for model reduction of linear time invariant dynamical systems

[2]

CHAHLAOUI Y, 2002, MTNS 2002 15 S MATH

[3] ALL OPTIMAL HANKEL-NORM APPROXIMATIONS OF LINEAR-MULTIVARIABLE SYSTEMS AND THEIR L INFINITY-ERROR BOUNDS [J].