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Stability analysis of systems with time-varying delay via relaxed integral inequalities

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WOS被引频次:56
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成果类型:
期刊论文
作者:
Zhang, Chuan-Ke;He, Yong;Jiang, L.;Wu, Min;Zeng, Hong-Bing
通讯作者:
He, Yong(heyong08@cug.edu.cn)
作者机构:
[Jiang, L.; Zhang, Chuan-Ke] Department of Electrical Engineering and Electronics, University of Liverpool, Liverpool, United Kingdom
[Wu, Min; Zhang, Chuan-Ke; He, Yong] School of Automation, China University of Geosciences, Wuhan, China
[Zeng, Hong-Bing] School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China
通讯机构:
[He, Yong] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China.
语种:
英文
关键词:
Auxiliary functions - Delay bound - Integral inequalities - Integral terms - Lyapunov-Krasovskii functionals - Stability analysis - Time varying- delays - Time-delay systems
期刊:
Systems and Control Letters
ISSN:
0167-6911
年:
2016
卷:
92
页码:
52-61
文献类别:
WOS:Article;EI:Journal article (JA)
所属学科:
ESI学科类别:工程学;WOS学科类别:Automation & Control Systems;Operations Research & Management Science
入藏号:
WOS:000377317000009;EI:20161502216738
基金类别:
National Natural Science Foundation of China [61503351, 51428702, 61573325]; Hubei Provincial Natural Science Foundation of China [2015CFA010]
机构署名:
本校为其他机构
院系归属:
电气与信息工程学院
摘要:
This paper investigates the stability of linear systems with a time-varying delay. The key problem concerned is how to effectively estimate single integral term with time-varying delay information appearing in the derivative of Lyapunov-Krasovskii functional. Two novel integral inequalities are developed in this paper for this estimation task. Compared with the frequently used inequalities based on the combination of Wirtinger-based inequality (or Auxiliary function-based inequality) and reciprocally convex lemma, the proposed ones can provide smaller bounding gap without requiring any extra slack matrix. Four stability criteria are established by applying those inequalities. Based on three numerical examples, the advantages of the proposed inequalities are illustrated through the comparison of maximal admissible delay bounds provided by different criteria. ©2016 Elsevier B.V. All rights reserved.
参考文献:
Ariba Y., 2009, P 48 IEEE C DEC CONT
Ariba Y, 2009, INT J CONTROL, V82, P1616, DOI 10.1080/00207170802635476
Briat C, 2015, ADV DELAY DYN, V3, P1, DOI 10.1007/978-3-662-44050-6
Briat C, 2011, IEEE T AUTOMAT CONTR, V56, P1660, DOI 10.1109/TAC.2011.2121410
Fridman E, 2003, INT J CONTROL, V76, P48, DOI 10.1080/0020717021000049151

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