On the class of reduced order models obtainable by projection

被引：2

作者：

Halevi, Yoram ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Fac Mech Engn, IL-32000 Haifa, Israel

来源：

AUTOMATICA | 2006年 / 42卷 / 11期

关键词：

model reduction; projection; matrix pencil; Kronecker form;

D O I：

10.1016/j.automatica.2006.06.017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper investigates the properties of general reduced order models obtained by projection of a higher order system. It answers questions such as, are any two models of different orders related by a projection? Is it possible to obtain the same reduced order model using different projections? How to find, if it exists, a projection that relates the two models?, etc. It is shown that answers to those questions can be obtained by investigating the properties of a certain matrix pencil. The key tool is the Kronecker canonical form, and in some cases of square systems the problem becomes that of generalized eigenvalues. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2009 / 2016

页数：8

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