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.
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页码：331 / 344
页数：14
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