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

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Beijing University of Posts and Telecommunications

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	103-110
Number of pages	8
Journal	International Journal of Control
Volume	94
Issue number	1
DOIs	https://doi.org/10.1080/00207179.2019.1585954
State	Published - 2021

Keywords

Strict Lyapunov functions
homogeneity
nonlinear time-varying systems

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10.1080/00207179.2019.1585954

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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.",

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AU - Jia, Yingmin

AU - Du, Junping

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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

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DO - 10.1080/00207179.2019.1585954

M3 - 文章

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VL - 94

SP - 103

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JO - International Journal of Control

JF - International Journal of Control

IS - 1

ER -

Uniform stability of homogeneous time-varying systems

Abstract

Keywords

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