A numerical algorithm for stability testing of fractional delay systerns

被引：173

作者：

Hwang, C

Cheng, YC

机构：

[1] I Shou Univ, Dept Chem Engn, Kaohsiung 840, Taiwan

[2] Natl Chung Cheng Univ, Dept Chem Engn, Chiayi 621, Taiwan

来源：

AUTOMATICA | 2006年 / 42卷 / 05期

关键词：

fractional-order systems; delay; transcendent characteristic equation; stability;

D O I：

10.1016/j.automatica.2006.01.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 [计算机科学与技术];

摘要：

This paper presents an effective numerical algorithm for testing the BIBO stability of fractional delay systems described by fractional-order delay-differential equations. It is based on using Cauchy's integral theorem and solving an initial-value problem. The algorithm has a reliable result which is illustrated by several examples, and hence is practically useful in the analysis and design of feedback control for both integer- and fractional-order systems having time delays. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：825 / 831

页数：7

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