Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays

被引：8
作者：
Park, Myeong-Jin [1 ]
Lee, Seung-Hoon [2 ]
Kwon, Oh -Min [2 ]
Ryu, Ji-Hyoung [3 ]
机构：
[1] Kyung Hee Univ, Ctr Global Converging Humanities, Yongin 17104, South Korea
[2] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 28644, South Korea
[3] Elect & Telecommun Res Inst, Gwangju 61012, South Korea
来源：
IEEE ACCESS | 2017年 / 5卷
基金：
新加坡国家研究基金会;
关键词：
Stability analysis; Lyapunov method; discrete time systems; delay systems; STABILIZATION; INEQUALITIES;
D O I：
10.1109/ACCESS.2017.2767564
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 investigates the problem of delay-dependent stability for discrete-time systems with time-varying delays. A novel augmented Lyapunov-Krasovskii functional is proposed in deriving stability criteria in which the feasible region is enhanced. Also, an improved summation inequality is developed and applied to find the lower bound of summation inequalities. Via two numerical examples, improved results will be shown by comparing with maximum delay bounds.
引用
收藏
页码：24389 / 24400
页数：12
相关论文
共 18 条
  • [1] Briat C, 2008, THESIS
  • [2] Novel Summation Inequalities and Their Applications to Stability Analysis for Systems With Time-Varying Delay
    Chen, Jun
    Xu, Shengyuan
    Jia, Xianglei
    Zhang, Baoyong
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (05) : 2470 - 2475
  • [3] Summation inequality and its application to stability analysis for time-delay systems
    Chen, Jun
    Lu, Junwei
    Xu, Shengyuan
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (04) : 391 - 395
  • [4] GU K., 2003, CONTROL ENGN SER BIR
  • [5] Improvement on the feasible region of H∞ performance and stability for systems with interval time-varying delays via augmented Lyapunov-Krasivskii functional
    Kwon, O. M.
    Park, M. J.
    Park, Ju H.
    Lee, S. M.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (18): : 4979 - 5000
  • [6] Stability and stabilization for discrete-time systems with time-varying delays via augmented Lyapunov-Krasovskii functional
    Kwon, O. M.
    Park, M. J.
    Park, Ju H.
    Lee, S. M.
    Cha, E. J.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (03): : 521 - 540
  • [7] Auxiliary function-based summation inequalities and their applications to discrete-time systems
    Liu, Xin-Ge
    Wang, Feng-Xian
    Tang, Mei-Lan
    [J]. AUTOMATICA, 2017, 78 : 211 - 215
  • [8] Delay-dependent robust stabilization of uncertain state-delayed systems
    Moon, YS
    Park, P
    Kwon, WH
    Lee, YS
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (14) : 1447 - 1455
  • [9] Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems
    Nam, P. T.
    Trinh, H.
    Pathirana, P. N.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (12): : 5810 - 5831
  • [10] Niculescu SI, 2002, DELAY EFFECTS STABIL
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