New stability conditions for discrete-time switched positive linear time-varying systems

被引：8
|
作者：
Zhang, Niankun [1 ]
Zhu, Jin [1 ]
Kang, Yu [1 ,2 ,3 ]
Yu, Peilong [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230022, Peoples R China
[2] Univ Sci & Technol China, Inst Adv Technol, Hefei 230088, Peoples R China
[3] Univ Sci & Technol China, State Key Lab Fire Sci, Hefei 230026, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 01期
基金：
中国国家自然科学基金;
关键词：
COPOSITIVE LYAPUNOV FUNCTIONS; STABILIZATION; DESIGN;
D O I：
10.1016/j.jfranklin.2020.09.048
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 this note, we will devote to investigate the stability of discrete-time switched positive linear time-varying systems (PLTVSs). Firstly, a new asymptotic stability criterion of discrete-time PLTVSs is obtained by using time-varying copositive Lyapunov functions (TVCLFs) and this criterion is then extended to the switched case based on the multiple TVCLFs. Furthermore, the sufficient conditions are derived for stability of discrete-time switched PLTVSs with stable subsystems by means of function-dependent average dwell time and function-dependent minimum dwell time. In addition, the stability sufficient conditions are drawn for the switched PLTVSs which contain unstable subsystems. It is worth noting that the difference of TVCLFs and multiple TVCLFs are both relaxed to indefinite in our work. The theoretical results obtained are verified by two numerical examples. (C) 2021 Published by Elsevier Ltd on behalf of The Franklin Institute.
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页码：104 / 122
页数：19
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