Exponential stability for a class of switched nonlinear positive systems with partial unstable subsystems and time-delay

被引：0
|
作者：
Liang, Meng-Qian [1 ]
Tian, Ya-Zhou [1 ]
机构：
[1] School of Mathematical Sciences, University of Jinan, Jinan
来源：
Kongzhi yu Juece/Control and Decision | 2024年 / 39卷 / 10期
关键词：
delay; exponential stability; improved Halanay inequality; mode dependent average dwell time; switched nonlinear positive systems; unstable subsystems;
D O I：
10.13195/j.kzyjc.2023.0873
中图分类号：
学科分类号：
摘要：
This article investigates exponential stability problems of switched nonlinear positive systems (SNPSs) with partial unstable subsystems and time-delay. Firstly, based on improved Halanay inequality technique combined with multiple max-separable Lyapunov functions, and designing mode dependent average dwell time (MDADT) switching strategies, sufficient conditions of exponential stability of the SNPS are obtained. Then, the conservatism of stability conditions is lower than the previous results due to no restrictions on minimum dwell time of each subsystem, and exponential stability conditions of switched positive linear systems including time-delay, as the special cases, are concluded. Finally, a given example is shown to illustrate the effectiveness of theoretical results. © 2024 Northeast University. All rights reserved.
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页码：3297 / 3304
页数：7
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