Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality

• Published in: Journal of the Franklin Institute Vol. 357; no. 14; pp. 9930 - 9941
• Main Authors: Zeng, Hong-Bing, Lin, Hui-Chao, He, Yong, Teo, Kok-Lay, Wang, Wei
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.09.2020; Elsevier Science Ltd
• Subjects: Inequality; Linear systems; Mathematical functions; Mathematics; Quadratic equations; Stability; Time

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 deri...