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

页码：11238 / 11249

页数：12

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