Analysis of the Positivity of Descriptor Continuous-Time Linear Systems by the Use of Drazin Inverse Matrix Method

被引：3

作者：

Borawski, Kamil ^{[1
]}

机构：

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

来源：

AUTOMATION 2018: ADVANCES IN AUTOMATION, ROBOTICS AND MEASUREMENT TECHNIQUES | 2018年 / 743卷

关键词：

Descriptor; Continuous-time; Linear; System; Positivity; Drazin inverse; STRUCTURAL-PROPERTIES; STABILITY;

D O I：

10.1007/978-3-319-77179-3_16

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new method for computation of the Drazin inverse for a class of square matrices is proposed and the Drazin inverse matrix method is applied to investigate the positivity of descriptor continuous-time linear systems. Necessary and sufficient conditions for the positivity of descriptor linear systems are established. Considerations are illustrated by numerical examples.

引用

页码：172 / 182

页数：11

共 20 条

[1]

[Anonymous], 2000, PUR AP M-WI

[2]

[Anonymous], 1958, Amer Math Monthly, DOI [DOI 10.2307/2308576.416, 10.1080/00029890.1958.11991949, DOI 10.1080/00029890.1958.11991949]

[3]

Bru R, 2003, LECT NOTES CONTR INF, V294, P233

[4] Structural properties of positive linear time-invariant difference-algebraic equations [J].