Jensen inequality approach to stability analysis of discrete-time systems with time-varying delay

被引:141
|
作者
Zhu, Xun-Lin [1 ]
Yang, Guang-Hong [1 ]
机构
[1] NE Univ, Coll Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China
关键词
D O I
10.1109/ACC.2008.4586727
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 studies the problem of stability analysis for discrete-time delay systems. By using new Lyapunov functional and the discrete Jensen inequality, new stability criteria are presented in terms of linear matrix inequalities (LMIs) and proved to be less conservative than the existing ones. Compared with the existing results, the computational complexity of the obtained stability criteria is reduced greatly since less decision variables are involved. Numerical examples are given to illustrate the effectiveness and advantages of the proposed method.
引用
收藏
页码:1644 / 1649
页数:6
相关论文
共 50 条
  • [1] Relaxed inequality approach to robust H∞ stability analysis of discrete-time systems with time-varying delay
    Kim, S. H.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (13): : 2149 - 2156
  • [2] A Delay Decomposition Approach to Stability Analysis of Discrete-Time Systems with Time-Varying Delay
    Zhu, Xun-Lin
    Yang, Guang-Hong
    [J]. 2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 5465 - +
  • [3] Efficient Approach to Stability Analysis of Discrete-Time Systems with Time-Varying Delay
    Yun, Sung Wook
    Kim, Sung Hyun
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [4] Stability of Discrete-Time Systems with Time-Varying Delay: Delay Decomposition Approach
    Stojanovic, S. B.
    Debeljkovic, D. L. J.
    Dimitrijevic, N.
    [J]. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, 2012, 7 (04) : 775 - 783
  • [5] Jensen integral inequality approach to stability analysis of continuous-time systems with time-varying delay
    Zhu, X. -L.
    Yang, G. -H.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (06): : 524 - 534
  • [6] Improved approach to delay-dependent stability analysis of discrete-time systems with time-varying delay
    Huang, H.
    Feng, G.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (10): : 2152 - 2159
  • [7] Note on stability of discrete-time time-varying delay systems
    Liu, J.
    Zhang, J.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (02): : 335 - 339
  • [8] An improved summation inequality to discrete-time systems with time-varying delay
    Zhang, Chuan-Ke
    He, Yong
    Jiang, Lin
    Wu, Min
    [J]. AUTOMATICA, 2016, 74 : 10 - 15
  • [9] Discrete-time systems with time-varying time delay: Stability and stabilizability
    Boukas, El-Kebir
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2006, 2006
  • [10] Stability Analysis of Discrete-Time Coupled Systems on Networks With Time-Varying Delay
    Luo, Tianjiao
    Zhang, Jianyu
    Wu, Yongbao
    Wang, Pengfei
    [J]. PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1201 - 1206