Non-standard analysis and representation of reality

被引：17

作者：

Lobry, C. ^{[1
]}

Sari, T. ^{[2
]}

机构：

[1] INRA INRIA, Equipe MERE, UMR ASB, F-34060 Montpellier, France

[2] Univ Haute Alsace, LMIA, F-68093 Mulhouse, France

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2008年 / 81卷 / 03期

关键词：

D O I：

10.1080/00207170701601728

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 aim of this paper is to show that the representation with the help of non-standard analysis of a real phenomenon, presenting different observation scales, allows an important simplification of language. Indeed, it is convenient to have available the concept of infinitely small and infinitely large quantities in dealing with the macroscopic effects of microscopic phenomena. This is illustrated on two examples: the representation of two time scales systems and the representation of noise.

引用

页码：517 / 534

页数：18