ANALYSIS OF THE FRACTIONAL DESCRIPTOR DISCRETE-TIME LINEAR SYSTEMS BY THE USE OF THE SHUFFLE ALGORITHM

被引:0
|
作者
Kaczorek, Tadeusz [1 ]
Ruszewski, Andrzej [1 ]
机构
[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15351 Bialystok, Poland
来源
JOURNAL OF COMPUTATIONAL DYNAMICS | 2021年 / 8卷 / 02期
关键词
Fractional; descriptor; discrete-time; system; solution; decomposition; dynamic; static part; STRUCTURAL-PROPERTIES; STABILITY;
D O I
10.3934/jcd.2021007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The shuffle algorithm is applied to analysis of the fractional de-scriptor discrete-time linear systems. Using the shuffle algorithm the singular-ity of the fractional descriptor linear system is eliminated and the system is decomposed into dynamic and static parts. Procedures for computation of the solution and dynamic and static parts of the system are proposed. Sufficient conditions for the positivity of the fractional descriptor discrete-time linear systems are established.
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页码:153 / 163
页数:11
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