Equivalence and reduction of delay-differential systems

被引：1

作者：

Boudellioua, Mohamed Salah ^{[1
]}

机构：

[1] Sultan Qaboos Univ, Dept Math & Stat, Muscat 123, Oman

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2007年 / 17卷 / 01期

关键词：

polynomial matrix description; neutral delay-differential systems; strict system equivalence; determinantal ideals; Grobner bases;

D O I：

10.2478/v10006-007-0002-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann's strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant.

引用

页码：15 / 22

页数：8

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