Stability of discrete fractional linear systems with positive orders

被引：14

作者：

Mozyrska, Dorota ^{[1
]}

Wyrwas, Malgorzata ^{[1
]}

机构：

[1] Bialystok Tech Univ, Wiejska 45A, PL-15351 Bialystok, Poland

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

关键词：

Stability criteria; discrete time systems; Z-transform; fractional difference operator; SUFFICIENT CONDITIONS;

D O I：

10.1016/j.ifacol.2017.08.1250

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of the stability of the Caputo-, Riemann-Liouville and Grunwald-Letnikov-type linear discrete-time systems with fractional positive orders is discussed. We present the method of reducing the fractional order of the considered systems by transforming them to the multi-order linear systems with the partial orders from the interval (0, 1]. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：8115 / 8120

页数：6

共 18 条

[1] On the asymptotic stability of linear system of fractional-order difference equations [J].