Finite-Time Stability and Boundedness of Switched Systems with Finite-Time Unstable Subsystems

被引：16
|
作者：
Tan, Jialin [1 ]
Wang, Weiqun [1 ]
Yao, Juan [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Nanjing, Jiangsu, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2019年 / 38卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Switched nonlinear system; Finite-time stability; Finite-time boundedness; Mode-dependent average dwell time;
D O I：
10.1007/s00034-018-1001-7
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, problems covering finite-time stability and boundedness of switched systems with finite-time unstable subsystems are researched through the method of multi-Lyapunov function. On basis of the mode-dependent average dwell time method, the systems are required to meet the standards of remaining finite-time stable and finite-time bounded through the practice of designing the switching signal for finite-time stable and unstable subsystems respectively. Finally, stabilization conditions for switched linear systems based on linear matrix inequalities are presented to guarantee the finite-time stability of the closed-loop system. Numerical examples are put forward attempting to verify the efficiency through different methodologies.
引用
收藏
页码：2931 / 2950
页数：20
相关论文
共 50 条
  • [21] FINITE-TIME BOUNDEDNESS AND STABILIZATION OF SWITCHED LINEAR SYSTEMS
    Du, Haibo
    Lin, Xiangze
    Li, Shihua
    [J]. KYBERNETIKA, 2010, 46 (05) : 870 - 889
  • [22] Finite-time stability analysis of a class of discrete-time switched nonlinear systems with partial finite-time unstable modes
    Gao, Zairui
    Wang, Ziyun
    Wu, Xiaojin
    Wang, Wencheng
    Liu, Yunlong
    [J]. ASIAN JOURNAL OF CONTROL, 2022, 24 (01) : 309 - 319
  • [23] Finite-time fault detection filters design for switched systems with all subsystems unstable
    Su, Qingyu
    Fan, Zhongxin
    Li, Jian
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2020, 51 (03) : 545 - 555
  • [24] Finite-Time Stability of Impulsive Switched Systems
    Zhang, Taixiang
    Li, Xiaodi
    Cao, Jinde
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (09) : 5592 - 5599
  • [25] Finite-time stability for switched singular systems
    Zhang Yao-Li
    Wu Bao-Wei
    Wang Yue-E
    Han Xiao-Xia
    [J]. ACTA PHYSICA SINICA, 2014, 63 (17)
  • [26] Finite-Time Stabilization of Switched Systems with Unstable Modes
    Garg, Kunal
    Panagou, Dimitra
    [J]. 2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 3924 - 3929
  • [27] Finite-time stability of switched linear systems
    Hou, Linlin
    Sun, Chuanguang
    Ren, Hangli
    Wei, Yunliang
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 2338 - 2342
  • [28] Input-output finite-time stability of discrete-time systems under finite-time boundedness
    Zhang, Shuai
    Guo, Yang
    Wang, Shicheng
    Hu, Xiaoxiang
    Xie, Xu
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (02) : 419 - 431
  • [29] Finite-Time Boundedness and H∞ Control for Affine Switched Systems
    Han, Lu
    Qiu, Cunyong
    Jiang, Lin
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [30] On the finite-time boundedness of linear systems
    Amato, Francesco
    Ambrosino, Roberto
    Ariola, Marco
    De Tommasi, Gianmaria
    Pironti, Alfredo
    [J]. AUTOMATICA, 2019, 107 : 454 - 466
12345