A Necessary and Sufficient Condition for Stability of a Class of Planar Positive Nonlinear Systems

被引：2
|
作者：
Zou, Yunlei [1 ,2 ]
Qian, Chunjiang [2 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
[2] Univ Texas San Antonio, Dept Elect & Comp Engn, San Antonio, TX 78249 USA
来源：
IEEE CONTROL SYSTEMS LETTERS | 2021年 / 5卷 / 02期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
Positive nonlinear system; stability; special solution; OUTPUT-FEEDBACK STABILIZATION;
D O I：
10.1109/LCSYS.2020.3003725
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 letter, the stability problem of a class of planar positive nonlinear systems is investigated. Based on homogeneous nonlinear system theory and positive system theory, a necessary and sufficient condition for stability is established. To prove the necessity, a new method called special solution method is provided, and this method can be efficiently used to analyze instability. Three examples are provided to demonstrate the efficiency of the obtained results.
引用
收藏
页码：535 / 540
页数：6
相关论文
共 50 条
12345