(C, A)-invariance of modules over principal ideal domains

被引：4
|
作者：
Ito, N
Schmale, W
Wimmer, HK
机构：
[1] Univ Tokyo, Dept Math Engn & Informat Phys, Bunkyo Ku, Tokyo 1138656, Japan
[2] Carl von Ossietzky Univ Oldenburg, Fachbereich Math 6, D-26111 Oldenburg, Germany
[3] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 06期
关键词：
systems over rings; (C; A)-invariance; injection-invariance; (A; B)-invariance; feed-back invariance; pure submodules; closure of submodules;
D O I：
10.1137/S0363012999355083
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For discrete-time linear systems over a principal ideal domain, three types of (C, A)-invariance can be distinguished. Connections between these notions are investigated. For pure submodules, necessary and sufficient conditions for dynamic (C, A)-injection invariance are given. Sufficient conditions are obtained in the general case.
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页码：1859 / 1873
页数：15
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