Solution set properties for static errors-in-variables problems

被引：4

作者：

Anderson, BDO

Deistler, M

Scherrer, W

机构：

[1] VIENNA TECH UNIV,INST OKONOMET OPERAT RES & SYST THEORIE,A-1040 VIENNA,AUSTRIA

[2] AUSTRALIAN NATL UNIV,DEPT SYST ENGN,CANBERRA,ACT 0200,AUSTRALIA

[3] AUSTRALIAN NATL UNIV,COOPERAT RES CTR ROBUST & ADAPT SYST,RES SCH INFORMAT SCI & ENGN,CANBERRA,ACT 0200,AUSTRALIA

来源：

AUTOMATICA | 1996年 / 32卷 / 07期

关键词：

linear systems; system identification; errors-in-variables; noisy inputs; symmetric modelling;

D O I：

10.1016/0005-1098(96)00032-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper examines and refutes a conjecture to the effect that the solution set for a general (real) static errors-in-variables problem is a finite union of sets that are described by a finite number of linear inequalities. The conjecture is disproved by detailed examination of particular errors-in-variables problems with four variables. The solution set in this case is described by five surfaces, all intersecting in straight lines, but in general one of these surfaces is not flat. Copyright (C) 1996 Elsevier Science Ltd.

引用

页码：1031 / 1035

页数：5