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New negative-determination conditions for cubic polynomials with applications to time-varying delay systems
Vong, Seakweng1; Xue, Han1; Zhang, Yuanyuan1; Yao, Zhongsheng2
2025-02-01
Source PublicationApplied Mathematics Letters
ISSN0893-9659
Volume160Pages:109336
Abstract

This paper studies the stability of time delay systems. The Lyapunov-Krasovskii functional (LKF) method is used for our study, in which a novel negative-determination criterion for cubic polynomials is proposed. An improved stability criterion of time delay system is obtained by the new method. The effectiveness of the proposed method is verified by some numerical examples and reduced conservativeness can be obtained.

KeywordCubic Polynomials Lyapunov-krasovskii Method Negative-determination Condition Time Delay
DOI10.1016/j.aml.2024.109336
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:001401496300001
PublisherPERGAMON-ELSEVIER SCIENCE LTDTHE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Scopus ID2-s2.0-85207340093
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorVong, Seakweng
Affiliation1.Department of Mathematics, University of Macau, Avenida da Universidade, Macao
2.College of Computer Science and Engineering, Guangdong Ocean University, Yangjiang, Yangjiang Campus, China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Vong, Seakweng,Xue, Han,Zhang, Yuanyuan,et al. New negative-determination conditions for cubic polynomials with applications to time-varying delay systems[J]. Applied Mathematics Letters, 2025, 160, 109336.
APA Vong, Seakweng., Xue, Han., Zhang, Yuanyuan., & Yao, Zhongsheng (2025). New negative-determination conditions for cubic polynomials with applications to time-varying delay systems. Applied Mathematics Letters, 160, 109336.
MLA Vong, Seakweng,et al."New negative-determination conditions for cubic polynomials with applications to time-varying delay systems".Applied Mathematics Letters 160(2025):109336.
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