Equivalence of Linear Time-Delay Systems

被引：14

作者：

Garate-Garcia, Araceli ^{[1
,2
]}

Alejandro Marquez-Martinez, Luis ^{[1
]}

Moog, Claude H. ^{[1
]}

机构：

[1] IRCCyN, F-44321 Nantes 3, France

[2] CICESE, Ensenada 22860, Baja California, Mexico

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 03期

关键词：

Delay systems; linear systems; system analysis and design; STABILIZATION; REDUCTION; STABILITY; NETWORKS;

D O I：

10.1109/TAC.2010.2095550

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 question of characterizing those time-delay systems which are equivalent (up to bicausal transformations) to a delay-free system is a natural and fundamental problem which has been raised since the early 1980s. Surprisingly, this problem remains largely open despite that some partial answers have been provided. This technical note tackles this problem for linear systems with constant time delays, and gives necessary and sufficient conditions to eliminate, whenever is possible, or to reduce the number of time delays and a constructive way to get the corresponding bicausal change of coordinates.

引用

页码：666 / 670

页数：5

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