Diagonal Stability Analysis of Discrete-Time Nonlinear Positive Switched Systems with Delays: A Homogeneous Polynomial Diagonal Lyapunov Function Method

被引：0
|
作者：
Sun, Peng [1 ]
Huang, Qinzhen [1 ]
Yang, Jinxiang [2 ]
机构：
[1] Southwest Minzu Univ, Key Lab Elect Informat State Ethn Affairs Commiss, Coll Elect & Informat Engn, Chengdu 610041, Sichuan, Peoples R China
[2] Southwest Minzu Univ, Sch Comp Sci & Technol, Chengdu 610041, Peoples R China
来源：
PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC) | 2019年
关键词：
Diagonal stability; delays; homogeneous polynomial diagonal Lyapunov function; nonlinear system; switched positive system; FLOW;
D O I：
10.23919/chicc.2019.8865847
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 diagonal stability problem of a class of discrete-time nonlinear positive switched systems with delays. Different from previous methods, we first use homogeneous polynomial Lyapunov function method to present the diagonal stability condition of the corresponding linear system of the original nonlinear system, and then use the comparison method to establish its relationship with the nonlinear system. so as to obtain the final result. Finally, a numerical example is provided to illustrate the theoretical results obtained in this paper.
引用
收藏
页码：549 / 553
页数：5
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