Finite-time stability analysis for switched homogeneous positive systems: A variable cyclic dwell-time approach

被引：0
|
作者：
Liu, Jiao [1 ,2 ,3 ]
Wang, Xin [1 ,2 ]
机构：
[1] Hebei Univ Technol, Sch Artificial Intelligence, Tianjin, Peoples R China
[2] Hebei Univ Technol, Control Engn Technol Res Ctr, Tianjin, Peoples R China
[3] Hebei Univ Technol, Sch Artificial Intelligence, Tianjin 300130, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2023年 / 45卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Switched homogeneous positive systems; variable cyclic dwell-time; finite-time stability; switched max-type separated Lyapunov function; DELAY-INDEPENDENT STABILITY; MARKOV JUMP SYSTEMS; EXPONENTIAL STABILITY; STOCHASTIC STABILITY; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS;
D O I：
10.1177/01423312231154191
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 paper, the finite-time stability for a class of switched homogeneous positive systems (SHPSs) is discussed. First, each subsystem is assumed to be finite-time stable and the degree of homogeneity satisfies 0 < a < 1 . A new variable cyclic dwell-time approach is proposed, which allows for greater flexibility in switching signal design than the existing cyclic dwell-time approach. By virtue of the variable cyclic dwell-time and switched max-type separated Lyapunov function methods, the finite-time stability criterion for SHPSs is established and the settling time is obtained. Moreover, the stability result is extended to SHPSs containing unstable subsystems. Finally, two simulation examples are provided to demonstrate the effectiveness of the theoretical analysis.
引用
收藏
页码：2437 / 2445
页数：9
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