Stability and stabilizability of positive switched discrete-time linear singular systems

被引：3
|
作者：
Thuan, Do Duc [1 ]
Thu, Ninh Thi [2 ]
机构：
[1] Hanoi Univ Sci & Technol, Fac Math & Informat, 01 Dai Co Viet Str, Hanoi, Vietnam
[2] Vietnam Natl Univ, VNU Univ Sci, Fac Math Mech & Informat, 334 Nguyen Trai Str, Hanoi, Vietnam
来源：
SYSTEMS & CONTROL LETTERS | 2024年 / 185卷
关键词：
SDLS systems; Index; Positivity; Stability; Stabilizability; ALGEBRAIC EQUATIONS; DESCRIPTOR SYSTEMS; STABILIZATION;
D O I：
10.1016/j.sysconle.2024.105725
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 positivity, stability and stabilizability of switched discrete -time linear singular (SDLS) systems are studied. Our analysis builds on the recently introduced one -step -map for SDLS systems of index -1 and the stability of positive singular systems. We first provide the positive conditions for SDLS systems and the sufficient stability conditions for positive SDLS systems. After that we derive notions and characterizations for stabilizability of positive SDLS systems. Furthermore, we generalize the notion of joint spectral subradius of a finite set of matrix pairs, which allows us to fully characterize stabilizability.
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页数：7
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