Exponential stability for nonlinear time-varying systems on time scales

被引：0
|
作者：
Qiang, Cheng-Xiu [1 ]
Sun, Jian-Ping [1 ,2 ]
Zhao, Ya-Hong [2 ]
机构：
[1] Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Peoples R China
[2] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2024年 / 97卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Time scale; nonlinear time-varying system; exponential stability; Lyapunov function; DYNAMIC EQUATIONS; STABILIZATION;
D O I：
10.1080/00207179.2023.2223323
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, some less conservative sufficient conditions for uniform exponential stability, local uniform exponential stability and uniform practical exponential stability of nonlinear time-varying systems on time scales are proposed. Compared with the traditional exponential stability results, the negative definiteness of the time derivatives of Lyapunov functions is weakened, that is, the time derivatives of related Lyapunov functions in this paper are allowed to be indefinite. The main tools used are some Gronwall's inequalities on time scales. Two examples are also included to verify the effectiveness of the results obtained.
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页码：1647 / 1657
页数：11
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