Improved negativity condition for a quadratic function and its application to systems with time-varying delay

被引：34
|
作者：
Zeng, Hong-Bing [1 ]
Lin, Hui-Chao [1 ]
He, Yong [2 ]
Zhang, Chuan-Ke [2 ]
Teo, Kok-Lay [3 ,4 ]
机构：
[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China
[2] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
[3] Curtin Univ Perth, Sch Elect Engn Comp & Math Sci, Bentley, WA 6102, Australia
[4] Tianjin Univ Finance & Econ, Coordinated Innovat Ctr Computable Modeling Manag, Tianjin 300222, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 18期
关键词：
time-varying systems; linear systems; linear matrix inequalities; stability; delays; stability criteria; Lyapunov methods; conservative stability criteria; improved negativity condition; quadratic function; time-varying delay; stability problems; STABILITY ANALYSIS; LINEAR-SYSTEMS; INEQUALITY;
D O I：
10.1049/iet-cta.2019.1464
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article studies the stability problems of linear systems with time-varying delay. An improved negativity condition for a quadratic function parameterised by time-varying delay is derived. Based on this condition, less conservative stability criteria are obtained. Through two well-known numerical examples, it is proved that the proposed method can reduce the conservativeness of the computed results.
引用
收藏
页码：2989 / 2993
页数：5
相关论文
共 50 条
  • [11] Non-fragile finite-time dissipative piecewise control for time-varying system with time-varying delay
    Chen, Menghua
    Sun, Jian
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (03) : 321 - 332
  • [12] Stability Analysis of Linear Systems With a Time-Varying Delay via Less Conservative Methods
    Wang, Chen-Rui
    He, Yong
    Liu, Kang-Zhi
    Zhang, Chuan-Ke
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2025, 55 (03): : 1972 - 1983
  • [13] 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
    Wu, Min
    AUTOMATICA, 2020, 113
  • [14] Stability Analysis of Systems With Time-Varying Delay via Improved Lyapunov-Krasovskii Functionals
    Long, Fei
    Zhang, Chuan-Ke
    Jiang, Lin
    He, Yong
    Wu, Min
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (04): : 2457 - 2466
  • [15] Improved Stability Criterion for Linear Systems with Time-Varying Delay
    Teng, Xiang
    2012 4TH INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS (IHMSC), VOL 2, 2012, : 108 - 111
  • [16] Further refinements in stability conditions for time-varying delay systems
    de Oliveira, Fulvia S. S.
    Souza, Fernando O.
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 369
  • [17] Passivity and passification for switching Markovian jump systems with time-varying delay and generally uncertain transition rates
    Qi, Wenhai
    Gao, Xianwen
    Kao, Yonggui
    IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (15) : 1944 - 1955
  • [18] Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials
    Mahto, Sharat Chandra
    Elavarasan, Rajvikram Madurai
    Ghosh, Sandip
    Saket, R. K.
    Hossain, Eklas
    Nagar, Shyam Krishna
    IEEE ACCESS, 2020, 8 : 210961 - 210969
  • [19] Fault estimation for continuous-time non-linear switched systems with time-varying delay based on intermediate estimator
    Wang, Yuenan
    Zhu, Yanzheng
    Ji, Wenchengyu
    Jiang, Yulian
    Wang, Shenquan
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (19) : 3020 - 3028
  • [20] State bounding for positive singular discrete-time systems with time-varying delay and bounded disturbances
    Nguyen Huu Sau
    Mai Viet Thuan
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (16) : 2571 - 2582
12345