Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay

被引：8
|
作者：
Dinh Cong Huong [1 ,2 ]
Nguyen Huu Sau [3 ]
机构：
[1] Ton Duc Thang Univ, Dept Management Sci & Technol Dev, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Hanoi Univ Ind, Fac Fundamental Sci, Hanoi, Vietnam
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2019年 / 50卷 / 15期
关键词：
Finite-time stability; singular systems; finite-time stabilisation; positivity; time-varying delay; linear programming; LMI APPROACH;
D O I：
10.1080/00207721.2019.1690717
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of finite-time stability and stabilisation for positive singular discrete-time linear systems with time-varying delay is investigated. We first present novel delay-dependent sufficient conditions for positivity and finite-time stability of the unforced systems. We then apply the obtained results to solve finite-time stabilisation problem of the considered systems. The sufficient conditions for the positivity and finite-time stabilisable of such systems are formulated in terms of a standard linear programming (LP) problem. Numerical examples are provided to illustrate the effectiveness and advantages of our results.
引用
收藏
页码：2824 / 2837
页数：14
相关论文
共 50 条
  • [41] Finite-time stability of positive switched time-delay systems based on linear time-varying copositive Lyapunov functional
    Huang, Tiantian
    Sun, Yuangong
    Tian, Dadong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (05): : 2244 - 2258
  • [42] An Insight into Stability Conditions of Discrete-Time Systems With Time-Varying Delay
    Chen, Jun
    Chen, Xiangyong
    IEEE ACCESS, 2019, 7 : 155818 - 155824
  • [43] Finite-time stability of linear time-varying continuous system with time-delay
    Liu Hao
    Zhou Guopeng
    Lei Tao
    Tian Fengxia
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 6063 - 6068
  • [44] Numerical algorithm for analyzing the finite-time stability of linear time-varying systems
    Chen Z.-H.
    Xie Y.-C.
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2019, 36 (02): : 220 - 230
  • [45] Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay
    Wu, Zheng-Guang
    Shi, Peng
    Su, Hongye
    Chu, Jian
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (11) : 2095 - 2106
  • [46] Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay
    Lijuan Zhu
    Chengyun Zhu
    International Journal of Control, Automation and Systems, 2021, 19 : 2385 - 2394
  • [47] Finite-time stability for a linear discrete-time delay systems by using discrete convolution: An LMI approach
    Sreten B. Stojanovic
    Dragutin Lj. Debeljkovic
    Milan A. Misic
    International Journal of Control, Automation and Systems, 2016, 14 : 1144 - 1151
  • [48] Stabilisation of nonlinear hybrid stochastic systems with time-varying delay by discrete-time feedback controls with a time delay
    Lu, Jianqiu
    Lu, Yun
    Wang, Simin
    Hu, Liangjian
    Jiang, Yanan
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (07) : 1483 - 1502
  • [49] Analysis and Control for Discrete-Time Singular Systems with Interval Time-Varying Delay
    Lee, Ching-Min
    2016 IEEE/ACIS 15TH INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION SCIENCE (ICIS), 2016, : 65 - 69
  • [50] Finite-time stability and boundedness for linear switched singular positive time-delay systems with finite-time unstable subsystems
    Yimnet, Suriyon
    Niamsup, Piyapong
    SYSTEMS SCIENCE & CONTROL ENGINEERING, 2020, 8 (01) : 541 - 568
12345