Stability of mode-dependent linear switched singular systems with stable and unstable subsystems

被引：30
|
作者：
Wei, Jumei [1 ]
Zhi, Huimin [1 ]
Liu, Kai [2 ]
Mu, Xiaowu [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
[2] Henan Inst Engn, Coll Sci, Zhengzhou 451191, Henan, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 05期
基金：
中国国家自然科学基金;
关键词：
NONLINEAR-SYSTEMS; STABILIZATION; EQUATIONS; DELAY;
D O I：
10.1016/j.jfranklin.2019.02.014
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the E-exponential stability of mode-dependent linear switched singular systems with stable and unstable subsystems. First, by constructing an appropriate multiple discontinuous Lyapunov function, new sufficient conditions of E-exponential stability for linear switched singular systems are established. Considering the feature of mode-dependent average dwell time switching, we adopt the switching strategy where fast switching and slowing switching are respectively applied to unstable and stable subsystems. Compared with the existing results, our approach is more flexible and tighter bounds can be obtained. Finally, a numerical example is provided to illustrate the effectiveness of the proposed criteria. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3102 / 3114
页数：13
相关论文
共 50 条
  • [41] Stability conditions of switched nonlinear systems with unstable subsystems and destabilizing switching behaviors
    Cao, Zhengbao
    Gao, Lijun
    Wang, Gang
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 363
  • [42] Stability Analysis for State-constrained Switched Systems with All Subsystems Unstable
    Li, Jian
    Li, Wen
    Su, Qingyu
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (10) : 2482 - 2489
  • [43] H∞ Filtering for a class of nonlinear switched systems with stable and unstable subsystems
    Zheng, Qunxian
    Zhang, Hongbin
    SIGNAL PROCESSING, 2017, 141 : 240 - 248
  • [44] Unified mode-dependent average dwell time stability criteria for discrete-time switched systems
    Liu, Can
    Mao, Xiang
    Zhang, Hongbin
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (14) : 5356 - 5368
  • [45] Finite-time annular domain stability of impulsive switched systems: mode-dependent parameter approach
    Gao, Lijun
    Luo, Fangmei
    Yan, Zhiguo
    INTERNATIONAL JOURNAL OF CONTROL, 2019, 92 (06) : 1381 - 1392
  • [46] Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time
    Cai, Bo
    Xu, Kaixin
    Lu, Shengao
    Liang, Ye
    Zhang, Lixian
    2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 5875 - 5880
  • [47] 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
  • [48] Stability Analysis of Two-Dimensional Switched Systems with Unstable Subsystems
    Zhu Liying
    Feng Gang
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1777 - 1782
  • [49] Exponential Stability of Switched Positive Systems With Unstable Subsystems Based on Digraphs
    Wang, Dong
    An, Shuang
    Lian, Jie
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (12) : 7855 - 7862
  • [50] Stability of switched positive homogeneous nonlinear systems with mode-dependent average dwell time
    Tian, Yazhou
    Sun, Yuangong
    2018 18TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS), 2018, : 1030 - 1034
12345