On reachable set bounding for discrete-time switched nonlinear positive systems with mixed time-varying delays and disturbance

被引：8
作者：
Zhu, Xingao [1 ]
Liu, Shutang [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2023年 / 49卷
基金：
中国国家自然科学基金;
关键词：
Reachable set bounding; Positive system; Switched system; Time delay; Disturbance; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; STABILIZATION;
D O I：
10.1016/j.nahs.2023.101373
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper addresses the reachable set bounding for discrete-time switched nonlinear positive systems with mixed time-varying delays and disturbance, which contains switched linear positive systems as a special case. By resorting to a new method that does not involve the common Lyapunov-Krasovskii functional one, explicit criteria to ensure any state trajectory of the system converges exponentially into a prescribed sphere are obtained under average dwell time switching. The results can then be extended to more general time-varying systems. Finally, two numerical examples are used to demonstrate the effectiveness of the obtained results.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：12
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