MINIMAL REALIZATIONS FOR DISCRETE-TIME LINEAR PERIODIC-SYSTEMS

被引：11

作者：

SANCHEZ, E ^{[1
]}

HERNANDEZ, V ^{[1
]}

BRU, R ^{[1
]}

机构：

[1] UNIV POLITECN VALENCIA,DEPT SISTEMAS INFORMAT & COMP,E-46071 VALENCIA,SPAIN

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1992年 / 162卷

关键词：

D O I：

10.1016/0024-3795(92)90402-V

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an input-output periodic application, we prove that a periodic realization is minimal if and only if it is reachable and observable. We define the block Hankel matrix associated with the input-output periodic application, and we obtain the dimension of the minimal realization by means of the rank of it. This is the extension of the well-known result for the invariant case. Furthermore, we study similar periodic systems which are basic for getting minimal periodic realizations.

引用

页码：685 / 708

页数：24

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