A relaxed quadratic function negative-determination lemma and its application to time-delay systems. (March 2020)

• Record Type: Journal Article
• Authors: Zhang, Chuan-Ke; Long, Fei; He, Yong; Yao, Wei; Jiang, Lin; Wu, Min
• Is Part Of: Automatica. Volume 113(2020)
• Publication Date: 2020-03
• Subjects: Time-delay system -- Time-varying delay -- a relaxed quadratic function lemma -- Stability; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.108764
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: The quadratic function with respect to the time-varying delay has often been introduced for the analysis of systems with time-varying delays. To determine the negative definiteness of such function, this paper develops a parameter-adjustable-based lemma, which contains the lemma popularly used in literature as a special case and has potential to reduce the conservatism without requiring extra decision variables. A stability criterion for a linear time-delay system is established by using the proposed lemma, whose advantage is demonstrated via a numerical example, and the criterion is finally applied to analyze the stability of load frequency control scheme for a single-area power system.