Practical exponential stability of switched homogeneous positive nonlinear systems with stable and unstable modes

被引:10
作者
Tian, Yazhou [1 ]
Liang, Mengqian [1 ]
Sun, Yuangong [1 ]
机构
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
LINEAR-SYSTEMS; STABILIZATION;
D O I
10.1016/j.jfranklin.2023.06.031
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 article, we primarily investigate practical exponential stability of switched homogeneous positive nonlinear systems (SHPNSs) that have partial unstable modes and perturbation. First of all, the max-separable Lyapunov function (MSLF) technique and a special pre-setting switching sequence are used to define a number of significant stability conditions that ensure the state trajectories of the system converge to a confined region in continuous-time and discrete-time domains. In addition, the key results include several earlier findings as special situations and can be directly applied to general switched systems, not necessarily positive. Finally, two important instances are provided to further illustrate the validity of the theoretical findings.& COPY; 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.
引用
收藏
页码:8398 / 8415
页数:18
相关论文
共 37 条
[1]  
[Anonymous], 1979, Dynamic systems
[2]   Positive consensus of multi-agent systems with hierarchical control protocol [J].
Bhattacharyya, Sabyasachi ;
Patra, Sourav .
AUTOMATICA, 2022, 139
[3]   Practical finite-time stability of switched nonlinear time-varying systems based on initial state-dependent dwell time methods [J].
Chen, Guopei ;
Deng, Feiqi ;
Yang, Ying .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 41
[4]   Convexity of the cost functional in an optimal control problem for a class of positive switched systems [J].
Colaneri, Patrizio ;
Middleton, Richard H. ;
Chen, Zhiyong ;
Caporale, Danilo ;
Blanchini, Franco .
AUTOMATICA, 2014, 50 (04) :1227-1234
[5]   l1-Gain Controller Design for 2-D Markov Jump Positive Systems With Directional Delays [J].
Duan, Zhaoxia ;
Ahn, Choon Ki ;
Xiang, Zhengrong ;
Ghous, Imran .
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (12) :7600-7613
[6]   Mixed l1/l- Fault Detection for Positive 2-D Systems With Distributed Delays [J].
Duan, Zhaoxia ;
Fu, Jinna ;
Ahn, Choon Ki ;
Xiang, Zhengrong ;
Ghous, Imran .
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (11) :7090-7100
[7]   Stability and Robust Stability of Switched Positive Linear Systems With All Modes Unstable [J].
Feng, Shaoxia ;
Wang, Juan ;
Zhao, Jun .
IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2019, 6 (01) :167-176
[8]   Stability Analysis of Monotone Systems via Max-Separable Lyapunov Functions [J].
Feyzmahdavian, Hamid Reza ;
Besselink, Bart ;
Johansson, Mikael .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (03) :643-656
[9]   Discrete-time control for switched positive systems with application to mitigating viral escape [J].
Hernandez-Vargas, Esteban ;
Colaneri, Patrizio ;
Middleton, Richard ;
Blanchini, Franco .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (10) :1093-1111
[10]   Stabilization of discrete-time switched positive linear systems via weak switched linear copositive Lyapunov function [J].
Ju, Yanhao ;
Sun, Yuangong .
AUTOMATICA, 2020, 114