State representations of finitely generated nD behaviors over rings

被引：0

作者：

Zerz, Eva ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Math D, Aachen, Germany

来源：

2015 IEEE 9TH INTERNATIONAL WORKSHOP ON MULTIDIMENSIONAL (ND) SYSTEMS (NDS) | 2015年

关键词：

SPACE REALIZATION;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Multidimensional linear systems that are finite-dimensional over the coefficient field admit 1D-like state space realizations. We generalize this fact to the case where the base field is replaced by an arbitrary commutative Noetherian ring. It turns out that the concept of "state spaces" has to be replaced by that of "state modules", which are not necessarily free.

引用

页数：4