Robust Exponential Stability of Uncertain Discrete-Time Systems with Interval Time-Varying Delay

被引:0
|
作者
Lien, Chang-Hua [2 ]
Chen, Jenq-Der [1 ,4 ]
Yu, Ker-Wei [2 ]
Lee, Chin-Tan [1 ]
Chen, Ruey-Shin [3 ]
Yang, Chyi-Da
机构
[1] Natl Quemoy Univ, Dept Elect Engn, Kinmen, Taiwan
[2] Natl Kaohsiung Marine Univ, Dept Marine Engn, Kaohsiung, Taiwan
[3] Natl Quemoy Univ, Dept Comp Engn, Kinmen, Taiwan
[4] Natl Kaohsiung Marine Univ, Dept Microelectron Engn, Kaohsiung, Taiwan
关键词
Robust exponential stability; Discrete-time system; Interval time-varying delay; STABILIZATION; CRITERIA; DESIGN;
D O I
10.1007/978-3-319-04573-3_57
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the problem of robust exponential stability for uncertain discrete-time systems with interval time-varying delay is investigated. By choosing appropriate Lyapunov functional and using discrete Jensen inequality, an LMI-based delay-dependent condition is proposed to guarantee the robust exponential stability for such system with parametric perturbations. Without ignoring any negative terms in the difference of Lyapunov functionals and using any free-weighting matrices, the presented result is less conservative and less computational burdens than those in the existing paper. Finally, some numerical examples are illustrated to show the obtained result.
引用
收藏
页码:461 / 468
页数:8
相关论文
共 50 条
  • [31] Further results on exponential stability of linear discrete-time systems with time-varying delay
    That, Nguyen D.
    Pham Cuong
    Ha, Q. P.
    2015 10TH ASIAN CONTROL CONFERENCE (ASCC), 2015,
  • [32] Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays
    Liang, Shuang
    Dong, Yali
    JOURNAL OF CONTROL SCIENCE AND ENGINEERING, 2016, 2016
  • [33] Comment on "Delay-dependent robust H∞ filtering for uncertain discrete-time singular systems with interval time-varying delay''
    Zhang, Yingqi
    Liu, Caixia
    Mu, Xiaowu
    Zhan, Miaojun
    AUTOMATICA, 2020, 115
  • [34] An improved exponential stability analysis method for discrete-time systems with a time-varying delay
    Li, Xu
    Wang, Rui
    Du, Shengli
    Li, Te
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (02) : 669 - 681
  • [35] ROBUST EXPONENTIAL STABILITY ANALYSIS OF UNCERTAIN DISCRETE TIME-VARYING LINEAR SYSTEMS
    Yao, Yu
    Liu, Kai
    Balakrishnan, Venkataramanan
    She, Wenxue
    Zhang, Jianhong
    ASIAN JOURNAL OF CONTROL, 2014, 16 (06) : 1820 - 1828
  • [36] Robust stability analysis for discrete-time uncertain neural networks with leakage time-varying delay
    Banu, L. Jarina
    Balasubramaniam, P.
    Ratnavelu, K.
    NEUROCOMPUTING, 2015, 151 : 808 - 816
  • [37] New Stability Criterion for Discrete-Time Systems with Interval Time-Varying State Delay
    Guo, Yafeng
    Li, Shaoyuan
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1342 - 1347
  • [38] Stability analysis and observer design for discrete-time systems with interval time-varying delay
    Dong, Yali
    Chen, Laijun
    Mei, Shengwei
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2016, 37 (02): : 340 - 358
  • [39] Stability and stabilization of switched linear discrete-time systems with interval time-varying delay
    Phat, V. N.
    Ratchagit, K.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (04) : 605 - 612
  • [40] Robust Stability Criteria for Uncertain Neutral Systems with Interval Time-Varying Delay
    K. Ramakrishnan
    G. Ray
    Journal of Optimization Theory and Applications, 2011, 149 : 366 - 384