Computing the regularization of a linear differential-algebraic system

被引：6

作者：

Berger, Thomas ^{[1
]}

Van Dooren, Paul ^{[2
]}

机构：

[1] Univ Hamburg, Fachbereich Math, D-20146 Hamburg, Germany

[2] Catholic Univ Louvain, Dept Engn Math, B-1348 Louvain La Neuve, Belgium

来源：

SYSTEMS & CONTROL LETTERS | 2015年 / 86卷

关键词：

Differential-algebraic systems; Descriptor systems; Regularization; Behavioral approach; SINGULAR PENCIL; CANONICAL FORM; COMPUTATION; MATRIX;

D O I：

10.1016/j.sysconle.2015.10.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the regularization problem for linear differential-algebraic systems. As an improvement of former results we show that any system can be regularized by a combination of state-space and input-space transformations, behavioral equivalence transformations and a reorganization of variables. The additional state feedback which is needed in earlier publications is shown to be superfluous. We provide an algorithmic procedure for the construction of the regularization and discuss computational aspects. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：48 / 53

页数：6

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