Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality

被引：4
作者：
Lee, Seung-Hoon [1 ]
Park, Myeong-Jin [2 ]
Kwon, Oh-Min [1 ]
机构：
[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 28644, South Korea
[2] Kyung Hee Univ, Ctr Global Converging Humanities, Yongin 17104, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 140卷
关键词：
Augmented approaches; Linear system; Integral inequality; Stability analysis; Time delay; SYNCHRONIZATION; CRITERIA;
D O I：
10.1016/j.aml.2022.108566
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The improved stability conditions for linear systems with time-varying delays are investigated. The proposed integral inequality derived from the properties of simple matrices has been simply proved, and this is a generalized form of various integral inequalities. Thus, depending on N, various forms of integral inequality can be derived. Also, the stability results are obtained by extending the augmented terms of Lyapunov-Krasovskii functionals according to N. Finally, two well-known numerical examples show that the stability criteria derived through the proposed generalized integral inequality have less conservatism than those of the existing ones.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：9
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  • [1] An integral inequality in the stability problem of time-delay systems
    Gu, KQ
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2805 - 2810
  • [2] Existence of Continuous or Constant Finsler's Variables for Parameter-Dependent Systems
    Ishihara, Joao Y.
    Kussaba, Hugo Tadashi M.
    Borges, Renato A.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) : 4187 - 4193
  • [3] Note on stability of linear systems with time-varying delay
    Kim, Jin-Hoon
    [J]. AUTOMATICA, 2011, 47 (09) : 2118 - 2121
  • [4] Augmented zero equality approach to stability for linear systems with time-varying delay
    Kwon, O. M.
    Lee, S. H.
    Park, M. J.
    Lee, S. M.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2020, 381
  • [5] Enhancement on Stability Criteria for Linear Systems with Interval Time-varying Delays
    Kwon, Oh Min
    Park, Myeong Jin
    Park, Ju H.
    Lee, Sang Moon
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (01) : 12 - 20
  • [6] Refined Jensen-based inequality approach to stability analysis of time-delay systems
    Le Van Hien
    Hieu Trinh
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (14) : 2188 - 2194
  • [7] Some augmented approaches to the improved stability criteria for linear systems with time-varying delays
    Lee, S. H.
    Park, M. J.
    Kwon, O. M.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (15): : 8188 - 8200
  • [8] Improved synchronization and extended dissipativity analysis for delayed neural networks with the sampled-data control
    Lee, S. H.
    Park, M. J.
    Kwon, O. M.
    [J]. INFORMATION SCIENCES, 2022, 601 : 39 - 57
  • [9] Generalized integral inequality: Application to time-delay systems
    Park, M. J.
    Kwon, O. M.
    Ryu, J. H.
    [J]. APPLIED MATHEMATICS LETTERS, 2018, 77 : 6 - 12
  • [10] Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
    Park, PooGyeon
    Lee, Won Il
    Lee, Seok Young
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (04): : 1378 - 1396
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