POSITIVITY AND STABILITY OF FRACTIONAL DESCRIPTOR TIME-VARYING DISCRETE-TIME LINEAR SYSTEMS

被引：8

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, Ul Wiejska 45D, PL-15351 Bialystok, Poland

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2016年 / 26卷 / 01期

关键词：

fractional system; descriptor system; time-varying system; positive system; discrete-time system; SWITCHED SYSTEMS; EXPONENTS;

D O I：

10.1515/amcs-2016-0001

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 Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.

引用

页码：5 / 13

页数：9

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