Estimation of stability region for discrete-time linear positive switched systems with multiple equilibrium points

被引：6
|
作者：
Liu, Zhi [1 ]
Zhang, Xianfu [2 ]
Li, Haitao [3 ]
机构：
[1] Linyi Univ, Sch Automat & Elect Engn, Linyi 276000, Peoples R China
[2] Shandong Univ, Sch Control Sci & Engn, Jinan, Peoples R China
[3] Shandong Normal Univ, Dept Math, Jinan, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2020年 / 22卷 / 03期
基金：
中国国家自然科学基金;
关键词：
multiple equilibrium points; positive switched system; region stability analysis; stability region; COPOSITIVE LYAPUNOV FUNCTIONS; STABILIZATION; STABILIZABILITY;
D O I：
10.1002/asjc.2001
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 investigates the regional stability for discrete-time linear positive switched systems with multiple equilibrium points (PSS-MEP). Every subsystem possesses a unique stable equilibrium point. Firstly, by establishing a special Lyapunov function, a sufficient condition for region stability of considered systems is presented. Although, estimating the stability region for n-dimensional PSS-MEP with l >= 3 subsystems is still a challenging work, we study the one and two dimensional PSS-MEP, and the corresponding accurate stability regions are given in our main job. Finally, a simulation example is presented to demonstrate the correctness of the theoretical results.
引用
收藏
页码：1306 / 1316
页数：11
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