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
  • [31] Finite-time stability and stabilization of linear discrete time-varying stochastic systems
    Zhang, Tianliang
    Deng, Feiqi
    Zhang, Weihai
    [J]. Journal of the Franklin Institute, 2019, 356 (03): : 1247 - 1267
  • [32] Robust finite-time stability of singular nonlinear systems with interval time-varying delay
    Yang, Xueyan
    Li, Xiaodi
    Cao, Jinde
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (03): : 1241 - 1258
  • [33] Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application
    Mouktonglang, Thanasak
    Poochinapan, Kanyuta
    Yimnet, Suriyon
    [J]. SYMMETRY-BASEL, 2022, 14 (04):
  • [34] Stability and stabilization of discrete-time singular Markov jump systems with time-varying delay
    Ma, Shuping
    Boukas, El-Kebir
    Chinniah, Y.
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (05) : 531 - 543
  • [35] Discrete-time systems with time-varying time delay: Stability and stabilizability
    Boukas, El-Kebir
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2006, 2006
  • [36] Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability
    Kaczorek, T.
    [J]. TRANSNAV-INTERNATIONAL JOURNAL ON MARINE NAVIGATION AND SAFETY OF SEA TRANSPORTATION, 2015, 9 (01) : 83 - 89
  • [37] Input-Output Finite-Time Stabilization of Linear Time-Varying Discrete-Time Systems
    Amato, Francesco
    Cosentino, Carlo
    De Tommasi, Gianmaria
    Pironti, Alfredo
    Romano, Maria
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (09) : 4438 - 4450
  • [38] Finite-time analysis and design for discrete-time switching dynamics Markovian jump linear systems with time-varying delay
    Wen, Jiwei
    Peng, Li
    Nguang, Sing Kiong
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (17): : 1972 - 1985
  • [39] Note on stability of discrete-time time-varying delay systems
    Liu, J.
    Zhang, J.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (02): : 335 - 339
  • [40] Delay-dependent robust stabilisation of discrete-time systems with time-varying delay
    Liu, X. G.
    Martin, R. R.
    Wu, M.
    Tang, M. L.
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (06): : 689 - 702
12345