On stability of linear systems with time-varying delay

被引:0
|
作者
Meng Haofei [1 ]
Kang Yu [1 ]
Zhai Dihua [1 ]
机构
[1] Univ Sci & Technol China, Dept Automat, Hefei 230027, Anhui, Peoples R China
关键词
Time-varying Delay; Lyapunov-Krasovskii Functionals(LKFs); Piecewise Analysis Method(PAM); Delay-dependent Stability; Linear Matrix Inequality(LMI); H-INFINITY CONTROL; DEPENDENT STABILITY; KRASOVSKII FUNCTIONALS; ROBUST STABILITY; STABILIZATION; CRITERIA;
D O I
暂无
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 paper is concerned with the stability analysis of linear systems with time-varying delay in a given range. We construct different Lyapunov functionals when the time-varying delay belongs to different intervals. Combined with the piece-wise analysis method and the convexity properties of matrix inequality, some new criteria are derived in terms of linear matrix inequalities. Some numerical examples show the effectiveness of the derived criteria.
引用
收藏
页码:1499 / 1504
页数:6
相关论文
共 50 条
  • [1] Note on stability of linear systems with time-varying delay
    Kim, Jin-Hoon
    AUTOMATICA, 2011, 47 (09) : 2118 - 2121
  • [2] Improved stability criteria for linear systems with time-varying delay
    Kwon, Oh-Min
    Park, Ju-Hyun
    Lee, Sang-Moon
    Transactions of the Korean Institute of Electrical Engineers, 2010, 59 (12): : 2284 - 2291
  • [3] 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
  • [4] EXPONENTIAL STABILITY OF SWITCHED LINEAR SYSTEMS WITH TIME-VARYING DELAY
    Phat, Vu N.
    Pairote, Satiracoo
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
  • [5] New stability criteria for linear systems with time-varying delay
    Zheng, Lian-Wei
    Song, Shu-Ni
    Dongbei Daxue Xuebao/Journal of Northeastern University, 2013, 34 (04): : 457 - 460
  • [6] Improved stability criteria for linear systems with time-varying delay
    Sun, J.
    Liu, G. P.
    Chen, J.
    Rees, D.
    IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (04): : 683 - 689
  • [7] Stability Analysis of Linear Systems With Interval Time-Varying Delay
    Chen, Yu-Jie
    Zeng, Hong-Bing
    IEEE ACCESS, 2023, 11 : 120131 - 120136
  • [8] Improved Stability Method for Linear Time-Varying Delay Systems
    Zhao, Zhanshan
    He, Meili
    Zhang, Jing
    Sun, Jie
    IEEE ACCESS, 2018, 6 : 7753 - 7758
  • [9] Stability analysis for linear switched systems with time-varying delay
    Sun, Xi-Ming
    Wang, Wei
    Liu, Guo-Ping
    Zhao, Jun
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (02): : 528 - 533
  • [10] Stability conditions for uncertain linear systems with time-varying delay
    Cao, Dengqing
    1997, (14):