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.
p. 108764.
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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: | 19 Jan 2023 00:10 |
| DOI: | 10.1016/j.automatica.2019.108764 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3069771 |
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