APPROXIMATION OF FRACTIONAL POSITIVE STABLE CONTINUOUS-TIME LINEAR SYSTEMS BY FRACTIONAL POSITIVE STABLE DISCRETE-TIME SYSTEMS

被引：2

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2013年 / 23卷 / 03期

关键词：

Pade approximation; fractional system; linear positive system; STABILITY;

D O I：

10.2478/amcs-2013-0038

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Fractional positive asymptotically stable continuous-time linear systems are approximated by fractional positive asymptotically stable discrete-time systems using a linear Pade-type approximation. It is shown that the approximation preserves the positivity and asymptotic stability of the systems. An optional system approximation is also discussed.

引用

页码：501 / 506

页数：6

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