Uniform stability of homogeneous time-varying systems

被引：22

作者：

Zhang, Bin ^{[1
]}

Jia, Yingmin ^{[2
]}

Du, Junping ^{[3
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Automat, Beijing 100876, Peoples R China

[2] Beihang Univ, Res Div 7, Beijing, Peoples R China

[3] Beijing Univ Posts & Telecommun, Sch Comp Sci, Beijing, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2021年 / 94卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Strict Lyapunov functions; nonlinear time-varying systems; homogeneity; ASYMPTOTIC STABILITY; LMI CONDITIONS; SYNCHRONIZATION; EXCITATION;

D O I：

10.1080/00207179.2019.1585954

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A sufficient condition for uniform asymptotic stability of nonlinear time-varying systems is proposed within the Narendra-Annaswamy (NA) framework. Based on homogeneity, a class of strict Lyapunov functions is established, in which time-varying terms are included. By using the new Lyapunov functions, concise criterion is provided. Unlike the classical NA approach, divergent time sequence in the criterion is not needed. The utility of our result is illustrated through the study of applications and numerical examples.

引用

页码：103 / 110

页数：8

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