Stability analysis for linear time-delay systems using new inequality based on the second-order derivative

doi:10.1016/j.jfranklin.2019.03.038

Details of Research Outputs

Status	已发表Published
Title	Stability analysis for linear time-delay systems using new inequality based on the second-order derivative
Creator	Zhao, Xin 1; Lin, Chong 1; Chen, Bing 1; Wang, Qingguo2
Date Issued	2019
Source Publication	Journal of the Franklin Institute
ISSN	0016-0032
Volume	356 Issue:15 Pages:8770-8784
Abstract	This paper studies the stability problem of linear time-varying delay system. Firstly, a double integral inequality based on the second-order derivative is proposed in this paper. Secondly, novel Lyapunov–Krasovskii functional consisting of integral terms based on the second-order derivative is constructed to enhance the feasible region of delay-dependent stability. Based on the two aspects, new delay-dependent stability criteria which guarantee the asymptotic stability of linear systems with time-varying delay are given in the form of linear matrix inequality (LMI). Finally, several numerical examples are given to show the advantages of the proposed methods. © 2019 The Franklin Institute
DOI	10.1016/j.jfranklin.2019.03.038
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Automation & Control Systems ; Engineering ; Mathematics
WOS Subject	Automation & Control SystemsEngineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS ID	WOS:000487322200039
Citation statistics	Cited Times:7[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/3572
Collection	Research outside affiliated institution
Affiliation	1.Institute of Complexity Science, Qingdao University, Qingdao, 266071, China 2.School of Electrical Engineering, University of Johannesburg, Johannesburg, South Africa
Recommended Citation GB/T 7714	Zhao, Xin,Lin, Chong,Chen, Binget al. Stability analysis for linear time-delay systems using new inequality based on the second-order derivative[J]. Journal of the Franklin Institute, 2019, 356(15): 8770-8784.
APA	Zhao, Xin, Lin, Chong, Chen, Bing, & Wang, Qingguo. (2019). Stability analysis for linear time-delay systems using new inequality based on the second-order derivative. Journal of the Franklin Institute, 356(15), 8770-8784.
MLA	Zhao, Xin,et al."Stability analysis for linear time-delay systems using new inequality based on the second-order derivative". Journal of the Franklin Institute 356.15(2019): 8770-8784.

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