Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems

被引：0

作者：

Jidong Wang ^{[1
,2
,3
]}

Zhanshan Wang ^{[4
,1
,2
]}

Sanbo Ding ^{[1
,2
]}

Huaguang Zhang ^{[4
,1
,2
]}

机构：

[1] College of Information Science and Engineering,Northeastern University

[2] State Key Laboratory of Synthetical Automation for Process Industries

[3] IEEE

[4] College of Electrical Engineering,North China University of Water Resources and Electric Power

来源：

IEEE/CAAJournalofAutomaticaSinica | 2018年 / 5卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Multiple integral approach; refined Jensen-based multiple integral inequality(RJMII); stability analysis; time-delay systems;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper investigates the stability of time-delay systems via a multiple integral approach. Based on the refined Jensen-based inequality, a novel multiple integral inequality is proposed. Applying the multiple integral inequality to estimate the derivative of Lyapunov-Krasovskii functional(LKF) with multiple integral terms, a novel stability condition is formulated for the linear time-delay systems. Two numerical examples are employed to demonstrate the improvements of our results.

引用

页码：758 / 764

页数：7

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