A new double integral inequality and application to stability test for time-delay systems

Nan Zhao; Chong Lin; Bing Chen; Qing Guo Wang

doi:10.1016/j.aml.2016.09.019

A new double integral inequality and application to stability test for time-delay systems

Nan Zhao, Chong Lin, Bing Chen, Qing Guo Wang

Electrical and Electronic Engineering Science

Qingdao University

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

63 Citations (Scopus)

Abstract

This paper is concerned with stability analysis for linear systems with time delays. Firstly, a new double integral inequality is proposed. Then, it is used to derive a new delay-dependent stability criterion in terms of linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the effectiveness and merits of the present result.

Original language	English
Pages (from-to)	26-31
Number of pages	6
Journal	Applied Mathematics Letters
Volume	65
DOIs	https://doi.org/10.1016/j.aml.2016.09.019
Publication status	Published - 1 Mar 2017

Keywords

Integral inequality
Lyapunov–Krasovskii functional
Stability analysis
Time-delay system

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2016.09.019

Cite this

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title = "A new double integral inequality and application to stability test for time-delay systems",

abstract = "This paper is concerned with stability analysis for linear systems with time delays. Firstly, a new double integral inequality is proposed. Then, it is used to derive a new delay-dependent stability criterion in terms of linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the effectiveness and merits of the present result.",

keywords = "Integral inequality, Lyapunov–Krasovskii functional, Stability analysis, Time-delay system",

author = "Nan Zhao and Chong Lin and Bing Chen and Wang, \{Qing Guo\}",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2017",

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doi = "10.1016/j.aml.2016.09.019",

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AU - Zhao, Nan

AU - Lin, Chong

AU - Chen, Bing

AU - Wang, Qing Guo

PY - 2017/3/1

Y1 - 2017/3/1

N2 - This paper is concerned with stability analysis for linear systems with time delays. Firstly, a new double integral inequality is proposed. Then, it is used to derive a new delay-dependent stability criterion in terms of linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the effectiveness and merits of the present result.

AB - This paper is concerned with stability analysis for linear systems with time delays. Firstly, a new double integral inequality is proposed. Then, it is used to derive a new delay-dependent stability criterion in terms of linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the effectiveness and merits of the present result.

KW - Integral inequality

KW - Lyapunov–Krasovskii functional

KW - Stability analysis

KW - Time-delay system

UR - https://www.scopus.com/pages/publications/84992188212

U2 - 10.1016/j.aml.2016.09.019

DO - 10.1016/j.aml.2016.09.019

M3 - Letter

AN - SCOPUS:84992188212

SN - 0893-9659

VL - 65

SP - 26

EP - 31

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

A new double integral inequality and application to stability test for time-delay systems

Abstract

Keywords

ASJC Scopus subject areas

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