Stability of Linear Discrete-Time Systems with Fractional Positive Orders

被引：0

作者：

Wyrwas, Malgorzata ^{[1
]}

Mozyrska, Dorota ^{[1
]}

机构：

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

来源：

THEORETICAL DEVELOPMENTS AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS | 2016年 / 357卷

关键词：

Grunwald-Letnikov-type difference operator; Discrete-time fractional-order systems; Stability;

D O I：

10.1007/978-3-319-23039-9_13

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 Grunwald-Letnikov-type linear discrete-time systems with fractional positive orders is studied. The method of reducing the considered systems by transforming them to the multi-order linear systems with the partial orders from the interval (0, 1] is presented. For the reduced multi-order systems the conditions for the stability are formulated based on the Z-transform as an effective method for stability analysis of linear systems.

引用

页码：157 / 166

页数：10

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