Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality

被引：160
作者：
Ahn, Hyo-Sung
Chen, YangQuan
Podlubny, Igor
机构：
[1] Utah State Univ, Coll Engn, CSOIS, Dept Elect & Comp Engn, Logan, UT 84322 USA
[2] Tech Univ Kosice, Dept Appl Informat & Proc Control, Kosice 04200, Slovakia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 01期
基金：
美国国家科学基金会;
关键词：
fractional-order linear dynamic systems; robust stability; interval linear time invariant systems; interval matrix;
D O I：
10.1016/j.amc.2006.08.099
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper provides a new analytical robust stability checking method of fractional-order linear time invariant interval uncertain system. This paper continues the authors ' previous work [YangQuan Chen, Hyo-Sung Ahm, I. Podlubny, Robust stability check of fractional-order linear time invariant systems with interval uncertainties, in: Proceedings of the IEEE Conference on Mechatronics and Automation, Niagara Falls, Canada, July, 2005, pp. 210-215] where matrix perturbation theory was used. For the new robust stability checking, Lyapunov inequality is utilized for finding the maximum eigenvalue of a Hermitian matrix. Through numerical examples, the usefulness and the effectiveness of the newly proposed method are verified. (C) 2006 Elsevier Inc. All rights reserved.
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收藏
页码：27 / 34
页数：8
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