A numerical algorithm for stability testing of fractional delay systerns

A numerical algorithm for stability testing of fractional delay systerns
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DOI:
10.1016/j.automatica.2006.01.008
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发表时间:
2006-05-01
期刊:
影响因子:
6.4
通讯作者:
Cheng, YC
Cheng, YC
中科院分区:
计算机科学2区
文献类型:
--
作者:
Hwang, C;Cheng, YC

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本文给出了一种检验分数阶时滞微分方程描述的分数阶时滞系统BIBO稳定性的有效数值算法。它是基于使用柯西积分定理和解决初值问题。该算法具有可靠的结果,这是由几个例子说明,因此,在整数和分数阶时滞系统的反馈控制的分析和设计的实际有用的。(c)2006爱思唯尔有限公司保留所有权利。
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.