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题名Further improvement of free-weighting matrices technique for systems with time-varying delay
作者
发表日期2007
发表期刊IEEE Transactions on Automatic Control
ISSN/eISSN0018-9286
卷号52期号:2页码:293-299
摘要

A novel method is proposed in this note for stability analysis of systems with a time-varying delay. Appropriate Lyapunov functional and augmented Lyapunov functional are introduced to establish some improved delay-dependent stability criteria. Less conservative results are obtained by considering the additional useful terms (which are ignored in previous methods) when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. The resulting criteria are extended to the stability analysis for uncertain systems with time-varying structured uncertainties and polytopic-type uncertainties. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method. © 2007 IEEE.

关键词Augmented Lyapunov functional Delay-dependent Linear matrix inequality (LMI) Stability Time-varying delay
DOI10.1109/TAC.2006.887907
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收录类别SCIE
语种英语English
WOS研究方向Automation & Control Systems ; Engineering
WOS类目Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号WOS:000244471000012
引用统计
被引频次:647[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/3837
专题个人在本单位外知识产出
作者单位
1.School of Information Science and Engineering, Central South University, Changsha 410083, China
2.Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
3.School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
4.Institute of Complexity Science, College of Automation Engineering, Qingdao University, Qingdao 266071, China
推荐引用方式
GB/T 7714
He, Yong,Wang, Qingguo,Xie, Lihuaet al. Further improvement of free-weighting matrices technique for systems with time-varying delay[J]. IEEE Transactions on Automatic Control, 2007, 52(2): 293-299.
APA He, Yong, Wang, Qingguo, Xie, Lihua, & Lin, Chong. (2007). Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Transactions on Automatic Control, 52(2), 293-299.
MLA He, Yong,et al."Further improvement of free-weighting matrices technique for systems with time-varying delay". IEEE Transactions on Automatic Control 52.2(2007): 293-299.
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