REPRESENTATIONS OF SYMMETRICAL LINEAR DYNAMICAL-SYSTEMS

被引：33

作者：

FAGNANI, F ^{[1
]}

WILLEMS, J ^{[1
]}

机构：

[1] UNIV GRONINGEN,INST MATH,9700 AV GRONINGEN,NETHERLANDS

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1993年 / 31卷 / 05期

关键词：

LINEAR SYSTEMS; SYMMETRY; REPRESENTATIONS; CANONICAL FORMS; GROUP REPRESENTATIONS; PERMUTATIONS; ROTATIONS;

D O I：

10.1137/0331060

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 purpose of this paper is to study static symmetries in linear time-invariant differential dynamical systems. The main result is a representation theorem which brings the symmetry strongly into evidence. This result is then applied to a number of examples involving permutations and rotations. We close by proving a general result on the representation of compact groups on the ring of unimodular polynomial matrices.

引用

页码：1267 / 1293

页数：27

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