STABILITY ANALYSIS OF FRACTIONAL-ORDER SYSTEMS WITH DOUBLE NONCOMMENSURATE ORDERS FOR MATRIX CASE

被引：19
|
作者：
Jiao, Zhuang [1 ,2 ]
Chen, YangQuan [2 ]
机构：
[1] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
[2] Utah State Univ, ECE Dept, CSOIS, Logan, UT 84322 USA
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2011年 / 14卷 / 03期
关键词：
fractional-order systems; double noncommensurate orders; bounded-input bounded-output stability; numerical inverse Laplace transform technique; DELAY SYSTEMS; CALCULUS;
D O I：
10.2478/s13540-011-0027-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bounded-input bounded-output stability issues for fractional-order linear time invariant (LTI) system with double noncommensurate orders for the matrix case have been established in this paper. Sufficient and necessary condition of stability is given, and a simple algorithm to test the stability for this kind of fractional-order systems is presented. Based on the numerical inverse Laplace transform technique, time-domain responses for fractional-order system with double noncommensurate orders are shown in numerical examples to illustrate the proposed results.
引用
收藏
页码：436 / 453
页数：18
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