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.
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页码：501 / 506
页数：6
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