A relaxed quadratic function negative-determination lemma and its application to time-delay systems

Zhang, Chuan-Ke, Long, Fei, He, Yong, Yao, Wei, Jiang, Lin ORCID: 0000-0001-6531-2791 and Wu, Min (2020) A relaxed quadratic function negative-determination lemma and its application to time-delay systems AUTOMATICA, 113. 108764-. ISSN 0005-1098, 1873-2836

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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.

Item Type:	Article
Uncontrolled Keywords:	Time-delay system, Time-varying delay, a relaxed quadratic function lemma, Stability
Depositing User:	Symplectic Admin
Date Deposited:	09 Jan 2020 10:39
Last Modified:	16 Jun 2026 07:17
DOI:	10.1016/j.automatica.2019.108764
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3069771
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