MINIMALITY AND OBSERVABILITY OF GROUP SYSTEMS

被引：28

作者：

LOELIGER, HA

FORNEY, GD

MITTELHOLZER, T

TROTT, MD

机构：

[1] MOTOROLA CODEX,MANSFIELD,MA 02048

[2] SWISS FED INST TECHNOL,ISI ELECT ENGN,CH-8092 ZURICH,SWITZERLAND

[3] MIT,DEPT ELECT ENGN & COMP SCI,CAMBRIDGE,MA 02139

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 206卷

关键词：

D O I：

10.1016/0024-3795(94)90375-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Group systems are a generalization of Willems-type linear systems that are useful in error control coding. It is shown that the basic ideas of Willems's treatment of linear systems are easily generalized to linear systems over arbitrary rings and to group systems. The interplay between systems (behaviors) and trellises (evolution laws) is discussed with respect to completeness, minimality, controllability, and observability. It is pointed out that, for trellises of group systems and Willems-type linear systems, minimality is essentially the same as observability. The development is universal-algebraic in nature and holds unconditionally for linear systems over the real numbers.

引用

页码：937 / 963

页数：27

共 10 条

[1] FINITE-GROUP HOMOMORPHIC SEQUENTIAL SYSTEMS [J].