Reachable set estimation for switched homogeneous positive systems of degree greater than one

被引：0
作者：
Zhang, Na [1 ]
Sun, Yuangong [1 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2024年 / 34卷 / 16期
基金：
中国国家自然科学基金;
关键词：
homogeneous cooperative system; nonlinear positive system; reachable set; switched system; COPOSITIVE LYAPUNOV FUNCTIONS; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; STABILITY; DELAY; STABILIZABILITY; STABILIZATION;
D O I：
10.1002/rnc.7567
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 article estimates the reachable set for a class of switched nonlinear positive systems with disturbance. The systems we discussed are homogeneous of degree greater than one and cooperative. Criteria are derived for the existence of a ball where all the solutions of the system converge asymptotically within. Then the results are extended to switched homogeneous positive time-varying system of degree greater than one and general switched time-varying system. Finally numerical examples are proposed to illustrate the theoretical results.
引用
收藏
页码：11238 / 11249
页数：12
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