Relaxed Stability Criteria for Time-Delay Systems: A Novel Quadratic Function Convex Approximation Approach
文献类型：期刊论文
| 作者 | Shenquan Wang ; Wenchengyu Ji; Yulian Jiang; Yanzheng Zhu; Jian Sun
|
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2024 |
| 卷号 | 11期号:4页码:996-1006 |
| ISSN号 | 2329-9266 |
| 关键词 | Equivalent reciprocal combination technique quadratic function convex approximation approach stability timevarying delay |
| 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. |
| 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. |
入库方式： OAI收割
来源：自动化研究所
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