STABILITY OF INTERVAL POSITIVE FRACTIONAL DISCRETE-TIME LINEAR SYSTEMS

被引：8
|
作者：
Kaczorek, Tadeusz [1 ]
机构：
[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15351 Bialystok, Poland
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2018年 / 28卷 / 03期
关键词：
interval system; positive system; fractional system; linear discrete-time system; stability;
D O I：
10.2478/amcs-2018-0034
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 aim of this work is to show that interval positive fractional discrete-time linear systems are asymptotically stable if and only if the respective lower and upper bound systems are asymptotically stable. The classical Kharitonov theorem is extended to interval positive fractional linear systems.
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页码：451 / 456
页数：6
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