Rational approximation in linear systems and control

被引：26
|
作者：
Bultheel, A
De Moor, B
机构：
[1] Katholieke Univ Leuven, NALAG, Dept Comp Sci, B-3001 Louvain, Belgium
[2] Katholieke Univ Leuven, SISTA, ESAT, Dept Elect Engn, B-3001 Louvain, Belgium
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 121卷 / 1-2期
关键词：
rational approximation; linear system theory; model reduction; identification;
D O I：
10.1016/S0377-0427(00)00339-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we want to describe some examples of the active interaction that takes place at the border of rational approximation theory and linear system theory. These examples are mainly taken from the period 1950-1999 and are described only at a skindeep level in the simplest possible (scalar) case. We give comments on generalizations of these problems and how they opened up new ranges of research that after a while lived their own lives. We also describe some open problems and future work that will probably continue for some years after 2000. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：355 / 378
页数：24
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