A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function

Tae H. Lee; Ju H. Park

doi:10.1016/j.automatica.2017.02.004

A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function

Tae H. Lee
, Ju H. Park

Division of Electronic Engineering

Yeungnam University

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

255 Scopus citations

Abstract

This paper is concerned with the development of novel stability criteria for time-varying delayed systems. To this end, a new function which consisted of two quadratic functions with a special structural matrix is established to be a Lyapunov functional candidate. The proposed Lyapunov functional plays key role to decrease the conservatism of derived conditions which is verified by three numerical examples.

Original language	English
Pages (from-to)	239-242
Number of pages	4
Journal	Automatica
Volume	80
DOIs	https://doi.org/10.1016/j.automatica.2017.02.004
State	Published - 2017.06.1

Keywords

Lyapunov theorem
Matrix-refined-function
Stability
Time-varying delay

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10.1016/j.automatica.2017.02.004

Cite this

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title = "A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function",

abstract = "This paper is concerned with the development of novel stability criteria for time-varying delayed systems. To this end, a new function which consisted of two quadratic functions with a special structural matrix is established to be a Lyapunov functional candidate. The proposed Lyapunov functional plays key role to decrease the conservatism of derived conditions which is verified by three numerical examples.",

keywords = "Lyapunov theorem, Matrix-refined-function, Stability, Time-varying delay",

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AU - Lee, Tae H.

AU - Park, Ju H.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - This paper is concerned with the development of novel stability criteria for time-varying delayed systems. To this end, a new function which consisted of two quadratic functions with a special structural matrix is established to be a Lyapunov functional candidate. The proposed Lyapunov functional plays key role to decrease the conservatism of derived conditions which is verified by three numerical examples.

AB - This paper is concerned with the development of novel stability criteria for time-varying delayed systems. To this end, a new function which consisted of two quadratic functions with a special structural matrix is established to be a Lyapunov functional candidate. The proposed Lyapunov functional plays key role to decrease the conservatism of derived conditions which is verified by three numerical examples.

KW - Lyapunov theorem

KW - Matrix-refined-function

KW - Stability

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/85016156652

U2 - 10.1016/j.automatica.2017.02.004

DO - 10.1016/j.automatica.2017.02.004

M3 - Journal article

AN - SCOPUS:85016156652

SN - 0005-1098

VL - 80

SP - 239

EP - 242

JO - Automatica

JF - Automatica

ER -

A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function

Abstract

Keywords

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