New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions

被引：0
|
作者：
Qian Ma
Yuangong Sun
机构：
[1] University of Jinan,School of Mathematical Sciences
来源：
International Journal of Control, Automation and Systems | 2022年 / 20卷
关键词：
Finite-time stability; finite-time stability; singular system; time-dependent Lyapunov function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：1186 / 1193
页数：7
相关论文
共 50 条
  • [1] New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions
    Ma, Qian
    Sun, Yuangong
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2022, 20 (04) : 1186 - 1193
  • [2] Finite-Time Stability of Switched Linear Time-Delay Systems Based on Time-Dependent Lyapunov Functions
    Huang, Tiantian
    Sun, Yuangong
    IEEE ACCESS, 2020, 8 : 41551 - 41556
  • [3] Finite-time stability of linear systems: an approach based on polyhedral Lyapunov functions
    Amato, Francesco
    Ambrosino, Roberto
    Ariola, Marco
    Calabrese, Francesco
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 5255 - +
  • [4] Finite-time stability of linear systems: an approach based on polyhedral Lyapunov functions
    Amato, F.
    Ambrosino, R.
    Ariola, M.
    Calabrese, F.
    IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (09): : 1767 - 1774
  • [5] New Criteria for Finite-Time Stability of Linear Time-Delay Systems
    Huang, Tiantian
    Sun, Yuangong
    2019 19TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2019), 2019, : 1137 - 1140
  • [6] New finite-time stability conditions of linear switched singular systems with finite-time unstable subsystems
    Wei, Jumei
    Zhang, Xiuxiu
    Zhi, Huimin
    Mu, Xiaowu
    Zhu, Xunlin
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2019, 48 (07) : 792 - 810
  • [7] Finite-time stability of time-varying linear singular systems
    Kablar, NA
    Debeljkovic, DL
    PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 3831 - 3836
  • [8] Finite-time stability for continuous-time linear singular systems
    Wo Songlin
    Han Xiaoxin
    ADVANCES IN MECHATRONICS, AUTOMATION AND APPLIED INFORMATION TECHNOLOGIES, PTS 1 AND 2, 2014, 846-847 : 383 - 387
  • [9] New finite-time stability conditions of linear discrete switched singular systems with finite-time unstable subsystems
    Wei, Jumei
    Zhang, Xiuxiu
    Zhi, Huimin
    Zhu, Xunlin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (01): : 279 - 293
  • [10] Finite-time stability analysis of linear discrete-time systems via polyhedral Lyapunov functions
    Amato, F.
    Ambrosino, R.
    Ariola, M.
    Calabres, F.
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1656 - +
12345