Uniform stability of homogeneous time-varying systems

Bin Zhang; Yingmin Jia; Junping Du

doi:10.1080/00207179.2019.1585954

Uniform stability of homogeneous time-varying systems

Bin Zhang^*
, Yingmin Jia
, Junping Du

^*此作品的通讯作者

自动化科学与电气工程学院

Beijing University of Posts and Telecommunications

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

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.

源语言	英语
页（从-至）	103-110
页数	8
期刊	International Journal of Control
卷	94
期	1
DOI	https://doi.org/10.1080/00207179.2019.1585954
出版状态	已出版 - 2021

访问文件

10.1080/00207179.2019.1585954

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{3e6adebc2ec94d7586b1bad8e9c31499,

title = "Uniform stability of homogeneous time-varying systems",

abstract = "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.",

keywords = "Strict Lyapunov functions, homogeneity, nonlinear time-varying systems",

author = "Bin Zhang and Yingmin Jia and Junping Du",

note = "Publisher Copyright: {\textcopyright} 2019 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2021",

doi = "10.1080/00207179.2019.1585954",

language = "英语",

volume = "94",

pages = "103--110",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor and Francis Ltd.",

number = "1",

}

TY - JOUR

T1 - Uniform stability of homogeneous time-varying systems

AU - Zhang, Bin

AU - Jia, Yingmin

AU - Du, Junping

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Strict Lyapunov functions

KW - homogeneity

KW - nonlinear time-varying systems

UR - https://www.scopus.com/pages/publications/85082517740

U2 - 10.1080/00207179.2019.1585954

DO - 10.1080/00207179.2019.1585954

M3 - 文章

AN - SCOPUS:85082517740

SN - 0020-7179

VL - 94

SP - 103

EP - 110

JO - International Journal of Control

JF - International Journal of Control

IS - 1

ER -

Uniform stability of homogeneous time-varying systems

摘要

访问文件

其它文件与链接

学术指纹

引用此