On the Forward Razumikhin Approach for Discrete-Time Time-Varying Time-Delay Systems

被引：0
|
作者：
Zhao, Tianrui [1 ]
Zhou, Bin [1 ]
机构：
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, POB 416, Harbin 150001, Peoples R China
来源：
PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC) | 2018年
基金：
中国国家自然科学基金;
关键词：
Time-delay systems; Time-varying systems; Stability; Razumikhin approach; Discrete-time systems; TO-STATE STABILITY; THEOREM;
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 investigates the forward Razumikhin approach for discrete-time time-varying time-delay systems, Sufficient conditions are obtained for uniform stability (US) and uniformly asymptotically stability (UAS) respectively by using the notion of scalar UAS function. Moreover, with the help of a comparison lemma, a uniformly exponential stability (TIES) theorem is also obtained. An example regarding UES for a class of discrete-time linear time-varying time-delay systems is studied to illustrate the effectiveness of the obtained results.
引用
收藏
页码：2814 / 2819
页数：6
相关论文
共 50 条
  • [21] Output regulation for discrete-time nonlinear time-varying delay systems: An LMI approach
    Chiang, TS
    Chiu, CS
    Liu, P
    [J]. 2004 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, PROCEEDINGS, 2004, : 1269 - 1273
  • [22] Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay
    Lijuan Zhu
    Chengyun Zhu
    [J]. International Journal of Control, Automation and Systems, 2021, 19 : 2385 - 2394
  • [23] Compensation of time-varying input delay for discrete-time nonlinear systems
    Choi, Joon-Young
    Krstic, Miroslav
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (08) : 1755 - 1776
  • [24] A Note on Stability and Stabilization of Discrete-time Systems with Time-varying Delay
    Sun, Jian
    Chen, Jie
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1430 - 1434
  • [25] An Insight into Stability Conditions of Discrete-Time Systems With Time-Varying Delay
    Chen, Jun
    Chen, Xiangyong
    [J]. IEEE ACCESS, 2019, 7 : 155818 - 155824
  • [26] Stability of discrete-time uncertain systems with a time-varying state delay
    Chen, K-F
    Fong, I-K
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2008, 222 (I6) : 493 - 500
  • [27] Novel Stability Result of Discrete-time Systems with Time-varying Delay
    Feng Zhiguang
    Zheng Weixing
    [J]. 2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1594 - 1599
  • [28] Output feedback stabilization for discrete-time systems with a time-varying delay
    He Yong
    Wu Min
    Liu Guoping
    She Jinhua
    [J]. PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 3, 2007, : 64 - +
  • [29] Robust Admissibilization for Discrete-Time Singular Systems with Time-Varying Delay
    Wang, Dongdong
    Han, Shengzhi
    Chen, Jian
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
  • [30] 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
12345