Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality. Issue 14 (September 2020)

• Record Type: Journal Article
• Authors: Zeng, Hong-Bing; Lin, Hui-Chao; He, Yong; Teo, Kok-Lay; Wang, Wei
• Is Part Of: Journal of the Franklin Institute. Volume 357:Issue 14(2020)
• Page Start: 9930
• Page End: 9941
• Publication Date: 2020-09
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2020.07.034
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper studies the stability problems of linear systems with time-varying delays. Firstly, an extended reciprocally convex quadratic inequality and an improved quadratic function negative-determination condition are proposed. Based on the method proposed, some less conservative criteria are derived. Finally, a well-known numerical example is carried out to demonstrate the effectiveness and the merits of the proposed method.