A behavioral approach to singular systems

被引：4

作者：

Lomadze, V

Ravi, MS

Rosenthal, J

Schumacher, JM

机构：

[1] Math Inst, GE-380093 Tbilisi, Georgia

[2] E Carolina Univ, Dept Math, Greenville, NC 27858 USA

[3] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[4] CWI, NL-1090 GB Amsterdam, Netherlands

[5] Tilburg Univ, CentER, NL-5000 LE Tilburg, Netherlands

[6] Tilburg Univ, Dept Econ, NL-5000 LE Tilburg, Netherlands

来源：

ACTA APPLICANDAE MATHEMATICAE | 1998年 / 54卷 / 03期

基金：

以色列科学基金会; 美国国家科学基金会;

关键词：

behaviors; singular systems; shift spaces; coherent sheaves;

D O I：

10.1023/A:1006106222280

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notion of behaviors introduced by Willems gives a good description of dynamical systems without reference to any particular representation of the system in terms of equations. In this note, we introduce a notion of behaviors that allows us to describe singular systems in a very natural way. The new definition of behaviors given here is closely related to that of a sheaf over the projective line, and we make this connection precise.

引用

页码：331 / 344

页数：14

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