Improved stability conditions of time-varying delay systems based on new Lyapunov functionals

Tae H. Lee; Ju H. Park

doi:10.1016/j.jfranklin.2017.12.014

Improved stability conditions of time-varying delay systems based on new Lyapunov functionals

Tae H. Lee
, Ju H. Park^*

^*Corresponding author for this work

Division of Electronic Engineering

Yeungnam University

Research output: Contribution to journal › Journal article › peer-review

104 Scopus citations

Abstract

This paper is concerned with the stability analysis of time-varying delay systems. Unlike the construction of augmented Lyapunov functional and multiple integral Lyapunov functional, novel three Lyapunov functionals are suggested which are delay product type functions and lead to less conservative results. Based on newly developed Lyapunov functionals, three stability criteria are derived and their superiority is described by three numerical examples.

Original language	English
Pages (from-to)	1176-1191
Number of pages	16
Journal	Journal of the Franklin Institute
Volume	355
Issue number	3
DOIs	https://doi.org/10.1016/j.jfranklin.2017.12.014
State	Published - 2018.02

Quacquarelli Symonds(QS) Subject Topics

Computer Science & Information Systems
Mathematics
Data Science

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10.1016/j.jfranklin.2017.12.014

Cite this

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title = "Improved stability conditions of time-varying delay systems based on new Lyapunov functionals",

abstract = "This paper is concerned with the stability analysis of time-varying delay systems. Unlike the construction of augmented Lyapunov functional and multiple integral Lyapunov functional, novel three Lyapunov functionals are suggested which are delay product type functions and lead to less conservative results. Based on newly developed Lyapunov functionals, three stability criteria are derived and their superiority is described by three numerical examples.",

author = "Lee, \{Tae H.\} and Park, \{Ju H.\}",

note = "Publisher Copyright: {\textcopyright} 2018 The Franklin Institute",

year = "2018",

month = feb,

doi = "10.1016/j.jfranklin.2017.12.014",

language = "English",

volume = "355",

pages = "1176--1191",

journal = "Journal of the Franklin Institute",

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T1 - Improved stability conditions of time-varying delay systems based on new Lyapunov functionals

AU - Lee, Tae H.

AU - Park, Ju H.

PY - 2018/2

Y1 - 2018/2

N2 - This paper is concerned with the stability analysis of time-varying delay systems. Unlike the construction of augmented Lyapunov functional and multiple integral Lyapunov functional, novel three Lyapunov functionals are suggested which are delay product type functions and lead to less conservative results. Based on newly developed Lyapunov functionals, three stability criteria are derived and their superiority is described by three numerical examples.

AB - This paper is concerned with the stability analysis of time-varying delay systems. Unlike the construction of augmented Lyapunov functional and multiple integral Lyapunov functional, novel three Lyapunov functionals are suggested which are delay product type functions and lead to less conservative results. Based on newly developed Lyapunov functionals, three stability criteria are derived and their superiority is described by three numerical examples.

UR - https://www.scopus.com/pages/publications/85041108581

U2 - 10.1016/j.jfranklin.2017.12.014

DO - 10.1016/j.jfranklin.2017.12.014

M3 - Journal article

AN - SCOPUS:85041108581

SN - 0016-0032

VL - 355

SP - 1176

EP - 1191

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 3

ER -

Improved stability conditions of time-varying delay systems based on new Lyapunov functionals

Abstract

Quacquarelli Symonds(QS) Subject Topics

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