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

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Wang Jidong 1,2   Wang Zhanshan 1,2   Ding Sanbo 1,2   Zhang Huaguang 1,2  
文摘 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.
来源 IEEE/CAA Journal of Automatica Sinica ,2018,5(3):758-764 【核心库】
DOI 10.1109/JAS.2018.7511087
地址

1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819  

2. State Key Laboratory of Synthetical Automation for Process Industries, State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, 110819

语种 英文
文献类型 研究性论文
ISSN 2329-9266
学科 数学
基金 SAPI Fundamental Research Funds ;  国家自然科学基金
文献收藏号 CSCD:6219963

参考文献 共 34 共2页

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引证文献 2

1 Huang Shengjuan Adaptive Fault-Delay Accommodation for a Class of State-Delay Systems With Actuator Faults IEEE/CAA Journal of Automatica Sinica,2020,7(3):910-918
CSCD被引 0 次

2 Chen Yun Stability Analysis of Systems With Time-varying Delay via a Novel Lyapunov Functional IEEE/CAA Journal of Automatica Sinica,2019,6(4):1068-1073
CSCD被引 8

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