Practical finite-time stability of switched nonlinear time-varying systems based on initial state-dependent dwell time methods

被引：24
|
作者：
Chen, Guopei [1 ]
Deng, Feiqi [2 ]
Yang, Ying [1 ]
机构：
[1] Huizhou Univ, Sch Math & Stat, Huizhou 516007, Peoples R China
[2] South China Univ Technol, Dept Automat Sci & Engn, Guangzhou 510640, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 41卷
基金：
中国国家自然科学基金;
关键词：
Practical finite-time stability; Switched nonlinear time-varying systems; Initial state-dependent minimum dwell time; Initial state-dependent average dwell time; LINEAR-SYSTEMS; STABILIZATION; FEEDBACK;
D O I：
10.1016/j.nahs.2021.101031
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 considers the problem of practical finite-time stability (PFTS) for switched nonlinear time-varying (SNTV) systems. Starting with nonlinear time-varying (NTV) systems, a new sufficient condition is proposed to verify the PFTS of systems by using an improved Lyapunov function. Then, the results obtained are extended to study the PFTS of SNTV systems. Two stability conditions are proposed for SNTV systems under arbitrary switching, moreover, the time and region of convergence are also given. Furthermore, an initial state-dependent dwell time method is introduced to study the PFTS of SNTV systems. Three stability conditions are proposed by using the methods of initial state-dependent minimum dwell time (ISD-MDT) and initial state-dependent average dwell time (ISD-ADT), respectively. The comparisons between the obtained results and the existing results are also given, and the obtained results are extended to impulsive switched nonlinear time-varying (ISNTV) systems. Finally, a numerical example is provided to illustrate the theoretical results. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：14
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