Novel Stability Criteria for Linear Time-Delay Systems Using Lyapunov-Krasovskii Functionals With A Cubic Polynomial on Time-Varying Delay
文献类型：期刊论文
| 作者 | Xian-Ming Zhang ; Qing-Long Han; Xiaohua Ge
|
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2021 |
| 卷号 | 8期号:1页码:77-85 |
| 关键词 | Bessel-Legendre inequality matrix-valued polynomial inequalities stability time-varying delay time-delay systems |
| ISSN号 | 2329-9266 |
| DOI | 10.1109/JAS.2020.1003111 |
| 英文摘要 | One of challenging issues on stability analysis of time-delay systems is how to obtain a stability criterion from a matrix-valued polynomial on a time-varying delay. The first contribution of this paper is to establish a necessary and sufficient condition on a matrix-valued polynomial inequality over a certain closed interval. The degree of such a matrix-valued polynomial can be an arbitrary finite positive integer. The second contribution of this paper is to introduce a novel Lyapunov-Krasovskii functional, which includes a cubic polynomial on a time-varying delay, in stability analysis of time-delay systems. Based on the novel Lyapunov-Krasovskii functional and the necessary and sufficient condition on matrix-valued polynomial inequalities, two stability criteria are derived for two cases of the time-varying delay. A well-studied numerical example is given to show that the proposed stability criteria are of less conservativeness than some existing ones. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/43897]  |
| 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 | Xian-Ming Zhang,Qing-Long Han,Xiaohua Ge. Novel Stability Criteria for Linear Time-Delay Systems Using Lyapunov-Krasovskii Functionals With A Cubic Polynomial on Time-Varying Delay[J]. IEEE/CAA Journal of Automatica Sinica,2021,8(1):77-85. |
| APA | Xian-Ming Zhang,Qing-Long Han,&Xiaohua Ge.(2021).Novel Stability Criteria for Linear Time-Delay Systems Using Lyapunov-Krasovskii Functionals With A Cubic Polynomial on Time-Varying Delay.IEEE/CAA Journal of Automatica Sinica,8(1),77-85. |
| MLA | Xian-Ming Zhang,et al."Novel Stability Criteria for Linear Time-Delay Systems Using Lyapunov-Krasovskii Functionals With A Cubic Polynomial on Time-Varying Delay".IEEE/CAA Journal of Automatica Sinica 8.1(2021):77-85. |
入库方式： OAI收割
来源：自动化研究所
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