Uniform Approximation of Systems: A Banach Space Approach

被引：10

作者：

Milanese, M. ^{[1
]}

Negro, A. ^{[2
]}

机构：

[1] Politecn Torino, Grp Automat Inforrnat, Turin, Italy

[2] Univ Turin, Ist Anal Matemat, Turin, Italy

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1973年 / 12卷 / 02期

关键词：

D O I：

10.1007/BF00934818

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper is concerned with the approximation of complex dynamical systems by simple models. A min-max approach is taken, when input and initial conditions run over given admissible sets. Methods for evaluating suitable functionals to be minimized by the optimal model are developed. The existence of an element of bast approximation is prooved for a large class of problems. The homogeneous case in Hitbert spaces is investigated in more detail.

引用

页码：203 / 217

页数：15