Relaxed Stability Criteria for Time-Delay Systems: A Novel Quadratic Function Convex Approximation Approach

doi:10.1109/JAS.2023.123735

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	Relaxed Stability Criteria for Time-Delay Systems: A Novel Quadratic Function Convex Approximation Approach
	Shenquan Wang; Wenchengyu Ji; Yulian Jiang; Yanzheng Zhu; Jian Sun
刊名	IEEE/CAA Journal of Automatica Sinica
	2024
卷号	11 期号:4 页码:996-1006
关键词	Equivalent reciprocal combination technique quadratic function convex approximation approach stability timevarying delay
ISSN号	2329-9266
DOI	10.1109/JAS.2023.123735
英文摘要	This paper develops a quadratic function convex approximation approach to deal with the negative definite problem of the quadratic function induced by stability analysis of linear systems with time-varying delays. By introducing two adjustable parameters and two free variables, a novel convex function greater than or equal to the quadratic function is constructed, regardless of the sign of the coefficient in the quadratic term. The developed lemma can also be degenerated into the existing quadratic function negative-determination (QFND) lemma and relaxed QFND lemma respectively, by setting two adjustable parameters and two free variables as some particular values. Moreover, for a linear system with time-varying delays, a relaxed stability criterion is established via our developed lemma, together with the quivalent reciprocal combination technique and the Bessel-Legendre inequality. As a result, the conservatism can be reduced via the proposed approach in the context of constructing Lyapunov-Krasovskii functionals for the stability analysis of linear time-varying delay systems. Finally, the superiority of our results is illustrated through three numerical examples.
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/55372]
专题	自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Shenquan Wang,Wenchengyu Ji,Yulian Jiang,et al. Relaxed Stability Criteria for Time-Delay Systems: A Novel Quadratic Function Convex Approximation Approach[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(4):996-1006.
APA	Shenquan Wang,Wenchengyu Ji,Yulian Jiang,Yanzheng Zhu,&Jian Sun.(2024).Relaxed Stability Criteria for Time-Delay Systems: A Novel Quadratic Function Convex Approximation Approach.IEEE/CAA Journal of Automatica Sinica,11(4),996-1006.
MLA	Shenquan Wang,et al."Relaxed Stability Criteria for Time-Delay Systems: A Novel Quadratic Function Convex Approximation Approach".IEEE/CAA Journal of Automatica Sinica 11.4(2024):996-1006.