Stability analysis of discrete-time switched systems with time-varying delays via a new summation inequality

被引：47
|
作者：
Park, M. J. [1 ]
Kwon, O. M. [1 ]
Choi, S. G. [2 ]
机构：
[1] Chungbuk Natl Univ, Sch Elect Engn, 1 Chungdae Ro, Cheongju 28644, South Korea
[2] Chungbuk Natl Univ, Sch Informat & Commun Engn, 1 Chungdae Ro, Cheongju 28644, South Korea
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2017年 / 23卷
基金：
新加坡国家研究基金会;
关键词：
Systems with time-delays; Switching; Stability analysis; Lyapunov method; ROBUST STABILITY; STABILIZATION;
D O I：
10.1016/j.nahs.2016.08.001
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 proposes a new summation inequality, which improves the conservatism in the stability analysis for discrete-time systems with time-varying delay. In order to show the effectiveness of the proposed inequality, which provides general lower bound of the summation quadratic term of the form Sigma(b)(s=a) X-T (S)MX(S), a delay-dependent stability criterion for such systems is derived within the framework of linear matrix inequalities (LMIs). Going one step forward, the proposed inequality is applied to a stability problem in discrete-time switched systems with time-varying delays. The advantages of employing the proposed summation inequality are illustrated via three numerical examples. (C) 2016 Elsevier Ltd. All rights reserved.
引用
下载
收藏
页码：76 / 90
页数：15
相关论文
共 50 条
  • [1] Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality
    Seuret, Alexandre
    Gouaisbaut, Frederic
    Fridman, Emilia
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (10) : 2740 - 2745
  • [2] Stability analysis of Discrete-time Switched systems with Time-varying Delays
    Wang, Na
    Huang, Qing-zhen
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 3988 - 3993
  • [3] Stability Analysis for Discrete-Time Switched Systems With Time-Varying Delays
    Shi, Shuang
    Yang, Liu
    Ren, Shunqing
    Fei, Zhongyang
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1730 - 1735
  • [4] Bessel summation inequalities for stability analysis of discrete-time systems with time-varying delays
    Lee, Seok Young
    Park, JunMin
    Park, PooGyeon
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (02) : 473 - 491
  • [5] Robust stability and passivity analysis for discrete-time neural networks with mixed time-varying delays via a new summation inequality
    Thipcha, Jenjira
    Tangsiridamrong, Presarin
    Botmart, Thongchai
    Meesuptong, Boonyachat
    Ali, M. Syed
    Srisilp, Pantiwa
    Mukdasai, Kanit
    AIMS MATHEMATICS, 2023, 8 (02): : 4973 - 5006
  • [6] Stability of discrete-time systems with time-varying delays
    Ekanayake, MM
    Premaratne, K
    Douligeris, C
    Bauer, PH
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 3914 - 3919
  • [7] New Results on Stability of Discrete-time Systems with Time-varying Delays
    Liu, Lili
    Wu, Baowei
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 4243 - 4247
  • [8] Stability analysis of discrete-time systems with additive time-varying delays
    Tang X.-M.
    Yu J.-S.
    International Journal of Automation and Computing, 2010, 7 (02) : 219 - 223
  • [9] Stability Analysis of Discrete-time Systems with Additive Time-varying Delays
    Xian-Ming Tang Jin-Shou Yu Research Institute of Automation
    Machine Intelligence Research, 2010, 7 (02) : 219 - 223
  • [10] An improved summation inequality to discrete-time systems with time-varying delay
    Zhang, Chuan-Ke
    He, Yong
    Jiang, Lin
    Wu, Min
    AUTOMATICA, 2016, 74 : 10 - 15
12345