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
来源
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
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
  • [31] Robust stability of nonlinear time-delay systems with interval time-varying delay
    Orihuela, L.
    Millan, P.
    Vivas, C.
    Rubio, F. R.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (07) : 709 - 724
  • [32] Stability analysis for stochastic jump systems with time-varying delay
    Chen, Yun
    Lu, Renquan
    Zou, Hongbo
    Xue, Anke
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 14 : 114 - 125
  • [33] Stability analysis of systems with time-varying delay via relaxed integral inequalities
    Zhang, Chuan-Ke
    He, Yong
    Jiang, L.
    Wu, Min
    Zeng, Hong-Bing
    SYSTEMS & CONTROL LETTERS, 2016, 92 : 52 - 61
  • [34] Further improvement in stability criteria for linear systems with interval time-varying delay
    Souza, Fernando O.
    IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (03) : 440 - 446
  • [35] NEW DELAY-DEPENDENT ROBUST STABILITY OF DISCRETE SINGULAR SYSTEMS WITH TIME-VARYING DELAY
    Du, Zhaoping
    Zhang, Qingling
    Liu, Lili
    ASIAN JOURNAL OF CONTROL, 2011, 13 (01) : 136 - 147
  • [36] Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations
    Zhang, Wei
    Cai, Xiu-Shan
    Han, Zheng-Zhi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (01) : 174 - 180
  • [37] Stability analysis for a class of neutral type singular systems with time-varying delay
    Long, Shaohua
    Wu, Yunlong
    Zhong, Shouming
    Zhang, Dian
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 339 : 113 - 131
  • [38] ROBUST STABILITY ANALYSIS FOR SYSTEMS WITH TIME-VARYING DELAYS: A DELAY FUNCTION APPROACH
    Ma, Ming-Yu
    Dong, Chao-Yang
    Wang, Qing
    Ni, Maolin
    ASIAN JOURNAL OF CONTROL, 2016, 18 (05) : 1923 - 1933
  • [39] Improved delay-range-dependent stability criteria for linear systems with time-varying delays
    Sun, Jian
    Liu, G. P.
    Chen, Jie
    Rees, D.
    AUTOMATICA, 2010, 46 (02) : 466 - 470
  • [40] On Delay-Range-Dependent Stability for Linear Systems with Time-Varying Delays
    Zhang, Liansheng
    Chen, Jie
    Guo, Qingcai
    PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 2349 - 2354