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
相关论文
共 50 条
  • [1] Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems
    Wang, Jidong
    Wang, Zhanshan
    Ding, Sanbo
    Zhang, Huaguang
    IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2018, 5 (03) : 758 - 764
  • [2] Refined Jensen-based inequality approach to stability analysis of time-delay systems
    Le Van Hien
    Hieu Trinh
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (14): : 2188 - 2194
  • [3] A new multiple integral inequality and its application to stability analysis of time-delay systems
    Tian, Yufeng
    Wang, Zhanshan
    APPLIED MATHEMATICS LETTERS, 2020, 105 (105)
  • [4] A new integral inequality and application to stability of time-delay systems
    Tian, Junkang
    Ren, Zerong
    Zhong, Shouming
    APPLIED MATHEMATICS LETTERS, 2020, 101 (101)
  • [5] An integral inequality in the stability problem of time-delay systems
    Gu, KQ
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2805 - 2810
  • [6] Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems
    Tian, Yufeng
    Wang, Zhanshan
    APPLIED MATHEMATICS LETTERS, 2021, 120
  • [7] Generalized integral inequality: Application to time-delay systems
    Park, M. J.
    Kwon, O. M.
    Ryu, J. H.
    APPLIED MATHEMATICS LETTERS, 2018, 77 : 6 - 12
  • [8] A new double integral inequality and application to stability test for time-delay systems
    Zhao, Nan
    Lin, Chong
    Chen, Bing
    Wang, Qing-Guo
    APPLIED MATHEMATICS LETTERS, 2017, 65 : 26 - 31
  • [9] Wirtinger-based integral inequality: Application to time-delay systems
    Seuret, A.
    Gouaisbaut, F.
    AUTOMATICA, 2013, 49 (09) : 2860 - 2866
  • [10] Summation inequality and its application to stability analysis for time-delay systems
    Chen, Jun
    Lu, Junwei
    Xu, Shengyuan
    IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (04): : 391 - 395
12345