Improved stability criteria for linear systems with time-varying delay

被引：44
|
作者：
Sun, J. [1 ,2 ]
Liu, G. P. [2 ,3 ]
Chen, J. [1 ]
Rees, D. [2 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Harbin Inst Technol, CTGT Ctr, Harbin 150001, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2010年 / 4卷 / 04期
基金：
美国国家科学基金会; 中国博士后科学基金;
关键词：
H-INFINITY CONTROL; DEPENDENT ROBUST STABILITY; NEUTRAL SYSTEMS; STABILIZATION;
D O I：
10.1049/iet-cta.2008.0508
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 study is concerned with the stability analysis of systems with time-varying delay in a given interval. A new type of augmented Lyapunov functional which contains some triple-integral terms is proposed. By introducing free-weighting matrices, a new delay-range-dependent stability criterion is derived in terms of linear matrix inequality. The rate-range of the delay is considered, so the stability criterion is also delay-rate-range dependent. Numerical examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：683 / 689
页数：7
相关论文
共 50 条
  • [1] Improved stability criteria for linear systems with time-varying delay
    Kwon, Oh-Min
    Park, Ju-Hyun
    Lee, Sang-Moon
    [J]. Transactions of the Korean Institute of Electrical Engineers, 2010, 59 (12): : 2284 - 2291
  • [2] Improved delay-dependent stability criteria for linear systems with time-varying delay
    Qian Wei
    Liu Juan
    Bao Anping
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING AND INTELLIGENT SYSTEMS, PROCEEDINGS, VOL 2, 2009, : 374 - +
  • [3] Improved stability criteria for uncertain linear systems with interval time-varying delay
    Min Zheng
    Wei Xiao
    Qinghai Chen
    [J]. Journal of Systems Science and Complexity, 2013, 26 : 175 - 186
  • [4] Improved stability criteria for uncertain linear systems with interval time-varying delay
    Zheng Min
    Xiao Wei
    Chen Qinghai
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2013, 26 (02) : 175 - 186
  • [5] Improved stability criteria for linear uncertain systems with interval time-varying delay
    Li, Boren
    Xu, Bugong
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 7169 - 7174
  • [6] IMPROVED STABILITY CRITERIA FOR UNCERTAIN LINEAR SYSTEMS WITH INTERVAL TIME-VARYING DELAY
    ZHENG Min
    XIAO Wei
    CHEN Qinghai
    [J]. Journal of Systems Science & Complexity, 2013, 26 (02) : 175 - 186
  • [7] Improved delay-derivative-dependent stability criteria for linear systems with time-varying delay
    Han Dongfang
    [J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 1374 - 1379
  • [8] New stability criteria for linear systems with time-varying delay
    Zheng, Lian-Wei
    Song, Shu-Ni
    [J]. Dongbei Daxue Xuebao/Journal of Northeastern University, 2013, 34 (04): : 457 - 460
  • [9] Improved Stability Criterion for Linear Systems with Time-Varying Delay
    Teng, Xiang
    [J]. 2012 4TH INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS (IHMSC), VOL 2, 2012, : 108 - 111
  • [10] Improved stability criteria for linear systems with time-varying delays
    Yang, Bin
    Yan, Zefei
    Pan, Xuejun
    Zhao, Xudong
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (15): : 7804 - 7824
12345