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.
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页码：15 / 22
页数：8
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