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
收藏
页码：758 / 764
页数：7
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