SIMPLE CONDITIONS FOR PRACTICAL STABILITY OF POSITIVE FRACTIONAL DISCRETE-TIME LINEAR SYSTEMS

被引：99

作者：

Buslowicz, Mikolaj ^{[1
]}

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 | 2009年 / 19卷 / 02期

关键词：

linear system; positive; discrete-time; fractional; stability; practical stability;

D O I：

10.2478/v10006-009-0022-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.

引用

页码：263 / 269

页数：7

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