2-d algebraic test for stability of time-delay systems

被引：0

作者：

Xiao, Y ^{[1
]}

机构：

[1] No Jiaotong Univ, Inst Informat Sci, Beijing 100044, Peoples R China

来源：

PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2002年 / 1-6卷

关键词：

time-delay systems; stability; hybrid 2-D polynomials; test theorems;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is difficult to determine the stability of time-delay systems, because the number of eigenvalues of the systems is infinite. To solve the problem of stability test of the systems, we develop a 2-D algebraic test for stability of time-delay systems.. Constructing a 2-D s-z hybrid polynomial based on the characteristic polynomial of given time-delay system, we show that the stability of the 2-D polynomial can ensure the delay system to be stable, and provide a 2-D Routh-Schur test for the stability of 2-D s-z hybrid polynomial. Examples have been given to demonstrate the applicability of our new approach.

引用

页码：3351 / 3356

页数：6

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