MODELING OF SYSTEMS FOR IDENTIFICATION .1. E-REPRESENTATIONS OF CLASSES OF SYSTEMS

被引：9

作者：

ROOT, WL ^{[1
]}

机构：

[1] UNIV MICHIGAN,COLL ENGN,DEPT AEROSP ENGN,ANN ARBOR,MI 48105

来源：

SIAM JOURNAL ON CONTROL | 1975年 / 13卷 / 04期

关键词：

D O I：

10.1137/0313057

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 notion of a class of systems is formalized. The notion of an approximating class of systems is formalized with the definitions of epsilon -approximations and of epsilon -representations. Basic properties of and relationships between epsilon -representations are established. A fundamental existence theorem for epsilon -representations is proved, as well as a theorem giving epsilon -representations from epsilon -approximations. A construction of epsilon -approximations using Volterra polynomials is given.

引用

页码：927 / 944

页数：18