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

被引：6
作者：
Wang, Jidong [1 ,2 ,3 ]
Wang, Zhanshan [1 ,2 ]
Ding, Sanbo [1 ,2 ]
Zhang, Huaguang [1 ,2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China
[2] State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
[3] North China Univ Water Resources & Elect Power, Coll Elect Engn, Zhengzhou 450011, Henan, Peoples R China
来源：
IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 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; BARRIER LYAPUNOV FUNCTIONS; ADAPTIVE-CONTROL; FUNCTIONALS;
D O I：
10.1109/JAS.2018.7511087
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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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