New finite-time stability conditions of linear discrete switched singular systems with finite-time unstable subsystems

被引:19
|
作者
Wei, Jumei [1 ]
Zhang, Xiuxiu [1 ]
Zhi, Huimin [1 ]
Zhu, Xunlin [1 ]
机构
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 01期
基金
中国国家自然科学基金;
关键词
H-INFINITY CONTROL; S FUZZY-SYSTEMS; STABILIZATION; ADMISSIBILITY; SUBJECT;
D O I
10.1016/j.jfranklin.2019.03.045
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The finite-time stability problem of linear discrete switched singular systems with finite-time unstable subsystems is studied in this paper. By using dynamic decomposition technique, the original switched singular systems can be transformed into equivalent one that is a reduced-order switched normal systems. For linear discrete switched singular systems, based on the mode-dependent average dwell time (MADAT) switching signal, new sufficient conditions are presented to guarantee the considered systems with finite-time unstable subsystems being finite-time stability, finite-time bounded. At last, two numerical examples is employed to verify the efficiency of the preceding method. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:279 / 293
页数:15
相关论文
共 50 条
  • [41] Finite-time stability of linear time-varying singular impulsive systems
    Xu, J.
    Sun, J.
    IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (10) : 2239 - 2244
  • [42] New necessary and sufficient conditions for finite-time stability of impulsive switched linear time-varying systems
    Chen, Guopei
    Yang, Ying
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (01) : 140 - 148
  • [43] Finite-Time Stability of Discrete Autonomous Systems
    Haddad, Wassim M.
    Lee, Junsoo
    2020 AMERICAN CONTROL CONFERENCE (ACC), 2020, : 5188 - 5193
  • [44] Finite-time stability analysis of impulsive discrete-time switched systems with nonlinear perturbation
    Wang, Yijing
    Shi, Xiaomeng
    Zuo, Zhiqiang
    Liu, Yuhua
    Chen, Michael Z. Q.
    INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (11) : 2365 - 2371
  • [45] Finite-time H∞ Control for Linear Singular Systems
    Liu Wanhai
    Shen Yanjun
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 3720 - 3723
  • [46] Finite-time control of linear stochastic delay switched systems
    Chen, Yun
    Liu, Qinwen
    Lu, Renquan
    Zou, Hongbo
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1851 - 1855
  • [47] Research on finite-time stability of nonlinear switched systems
    Liu, Duyu
    Huang, Qinzhen
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 1314 - 1319
  • [48] On Finite-Time Stability of Cyclic Switched Nonlinear Systems
    Yang, Hao
    Jiang, Bin
    Zhao, Jun
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (08) : 2201 - 2206
  • [49] Finite-time stability of interconnected impulsive switched systems
    Zong, Guangdeng
    Ren, Hangli
    Hou, Linlin
    IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (06) : 648 - 654
  • [50] Set Finite-time Stability of A Class of Switched Systems
    Lin, Xiangze
    Du, Haibo
    Li, Shihua
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 7073 - 7078