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

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	Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems
其他题名	Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems
	Wang Jidong 1; Wang Zhanshan 1; Ding Sanbo 1; Zhang Huaguang 1
	2018
发表期刊	IEEE-CAA JOURNAL OF AUTOMATICA SINICA
ISSN	2329-9266
卷号	5 期号:3 页码:758-764
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.
其他摘要	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.
关键词	BARRIER LYAPUNOV FUNCTIONS ADAPTIVE-CONTROL FUNCTIONALS Multiple integral approach refined Jensen-based multiple integral inequality (RJMII) stability analysis time-delay systems
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [SAPI Fundamental Research Funds]
CSCD记录号	CSCD:6219963
引用统计	被引频次：2[CSCD] [CSCD记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/145443
专题	中国科学院金属研究所
作者单位	1.东北大学 2.中国科学院金属研究所 3.North China University Water Resources & Elect Power, Coll Elect Engn, Zhengzhou 450011, Henan, Peoples R China
推荐引用方式 GB/T 7714	Wang Jidong,Wang Zhanshan,Ding Sanbo,et al. Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems[J]. IEEE-CAA JOURNAL OF AUTOMATICA SINICA,2018,5(3):758-764.
APA	Wang Jidong,Wang Zhanshan,Ding Sanbo,&Zhang Huaguang.(2018).Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems.IEEE-CAA JOURNAL OF AUTOMATICA SINICA,5(3),758-764.
MLA	Wang Jidong,et al."Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems".IEEE-CAA JOURNAL OF AUTOMATICA SINICA 5.3(2018):758-764.