Improved results on fixed-time stability of switched nonlinear time-varying systems

被引：7
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
关键词：
Fixed-time stability; Nonlinear systems; Time-varying systems; Switched systems; Improved Lyapunov functions; Minimum dwell time; MULTIAGENT SYSTEMS; CONSENSUS TRACKING; FINITE-TIME; STABILIZATION; SYNCHRONIZATION; DESIGN;
D O I：
10.1016/j.nahs.2021.101030
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 fixed-time stability (FTS) for switched nonlinear time-varying (NTV) systems. Firstly, three sufficient conditions are proposed to verify the FTS of NTV systems by using the improved Lyapunov function, which has a tighter upper bound of time derivative. Then, two FTS conditions are given for the switched NTV system by extending the obtained results, moreover, a switching strategy is also provided by using the minimum dwell time method. Finally, the obtained results are extended to study the FTS of impulsive NTV systems. Comparing with the existing results, the obtained conditions have two improvements: (1) provides a more accurate estimate for the upper bound of settling time of NTV systems, and (2) allows the Lyapunov function to increase at the switching instant of switched NTV (or impulsive NTV) systems. Two numerical examples are given to illustrate the theoretical results. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：14
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