NEW RESULTS IN STABILITY ANALYSIS FOR LTI SISO SYSTEMS MODELED BY GL-DISCRETIZED FRACTIONAL-ORDER TRANSFER FUNCTIONS

被引：13

作者：

Stanislawski, Rafal ^{[1
]}

机构：

[1] Opole Univ Technol, Dept Elect Control & Comp Engn, Ul Proszkowska 76, PL-45758 Opole, Poland

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 01期

关键词：

fractional-order system; discrete-time system; stability analysis; TIME LINEAR-SYSTEMS; ASYMPTOTIC STABILITY;

D O I：

10.1515/fca-2017-0013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper tackles important problems in stable discretization of commensurate fractional-order continuous-time LTI SISO systems based on the Grunwald-Letnikov (GL) difference. New, analytical stability/instability conditions are given for the GL-discretized systems governed by fractional-order transfer functions. A stability preservation analysis is also performed for a class of finite GL approximators.

引用

页码：243 / 259

页数：17

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