A stability test for non-commensurate fractional order systems

被引：44
|
作者：
Sabatier, Jocelyn [1 ]
Farges, Christophe [1 ]
Trigeassou, Jean-Claude [1 ]
机构：
[1] Univ Bordeaux, CNRS, IMS Lab, CRONE Team,UMR 5218, F-33405 Talence, France
来源：
SYSTEMS & CONTROL LETTERS | 2013年 / 62卷 / 09期
关键词：
Non-commensurate fractional order systems; Stability; Cauchy's theorem;
D O I：
10.1016/j.sysconle.2013.04.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a necessary and sufficient condition to evaluate non-commensurate fractional order systems Bounded Input, Bounded Output stability. This condition is based on an algorithm that relies on a recursively defined closed-loop realization of the system and involves Cauchy's theorem. Its efficiency is attested by several numerical examples. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：739 / 746
页数：8
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