Stability analysis of Lur'e systems with additive delay components via a relaxed matrix inequality

doi:10.1016/j.amc.2018.01.009

科研成果详情

发表状态	已发表Published
题名	Stability analysis of Lur'e systems with additive delay components via a relaxed matrix inequality
作者	Long, Fei 1; Zhang, Chuanke 1; He, Yong 1; Jiang, Lin 2; Wang, Qingguo3 ; Wu, Min 1
发表日期	2018
发表期刊	Applied Mathematics and Computation
ISSN/eISSN	0096-3003
卷号	328 页码:224-242
摘要	This paper is concerned with the stability analysis of Lur'e systems with sector-bounded nonlinearity and two additive time-varying delay components. In order to accurately understand the effect of time delays on the system stability, the extended matrix inequality for estimating the derivative of the Lyapunov–Krasovskii functionals (LKFs) is employed to achieve the conservatism reduction of stability criteria. It reduces estimation gap of the popular reciprocally convex combination lemma (RCCL). Combining the extended matrix inequality and two types of LKFs lead to several stability criteria, which are less conservative than the RCCL-based criteria under the same LKFs. Finally, the advantages of the proposed criteria are demonstrated through two examples. © 2018 Elsevier Inc.
关键词	Additive time-varying delays Linear matrix inequality Lur'e system Matrix inequality Stability
DOI	10.1016/j.amc.2018.01.009
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000426137900017
引用统计	被引频次：40[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/3592
专题	个人在本单位外知识产出
作者单位	1.School of Automation, China University of Geosciences, Wuhan, 430074, China 2.Department of Electrical Engineering & Electronics, University of Liverpool, Liverpool, L69 3GJ, United Kingdom 3.Institute for Intelligent Systems, University of Johannesburg, Johannesburg, 2092, South Africa
推荐引用方式 GB/T 7714	Long, Fei,Zhang, Chuanke,He, Yonget al. Stability analysis of Lur'e systems with additive delay components via a relaxed matrix inequality[J]. Applied Mathematics and Computation, 2018, 328: 224-242.
APA	Long, Fei, Zhang, Chuanke, He, Yong, Jiang, Lin, Wang, Qingguo, & Wu, Min. (2018). Stability analysis of Lur'e systems with additive delay components via a relaxed matrix inequality. Applied Mathematics and Computation, 328, 224-242.
MLA	Long, Fei,et al."Stability analysis of Lur'e systems with additive delay components via a relaxed matrix inequality". Applied Mathematics and Computation 328(2018): 224-242.