Order reduction of large scale second-order systems using Krylov subspace methods

被引：143

作者：

Salimbahrami, B ^{[1
]}

Lohmann, B ^{[1
]}

机构：

[1] Tech Univ Munich, Lehrstuhl Regelungstech, D-85748 Garching, Germany

来源：

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

关键词：

second-order systems; order reduction; second-order Krylov subspace; moment matching; large scale systems;

D O I：

10.1016/j.laa.2004.12.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order reduction of large-scale linear time invariant systems, Krylov subspace methods based on moment matching are among the best choices today. However, in many technical fields, models typically consist of sets of second-order differential equations, and Krylov subspace methods cannot directly be applied. Two methods for solving this problem are presented in this paper: (1) an approach by Su and Craig is generalized and the number of matching moments is increased: (2) a new approach via first-order models is presented, resulting in an even higher number of matching moments. Both solutions preserve the specific structure of the second-order type model. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：385 / 405

页数：21

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