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

被引：26
|
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
  • [1] Exponential Stability of Switched Systems with Unstable Subsystems: A Mode-Dependent Average Dwell Time Approach
    Dehua Xie
    Hongyu Zhang
    Hongbin Zhang
    Bo Wang
    Circuits, Systems, and Signal Processing, 2013, 32 : 3093 - 3105
  • [2] Exponential Stability of Switched Systems with Unstable Subsystems: A Mode-Dependent Average Dwell Time Approach
    Xie, Dehua
    Zhang, Hongyu
    Zhang, Hongbin
    Wang, Bo
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (06) : 3093 - 3105
  • [3] Stability analysis of switched positive linear systems with stable and unstable subsystems
    Zhang, Ji-Shi
    Wang, Yan-Wu
    Xiao, Jiang-Wen
    Shen, Yan-Jun
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (12) : 2458 - 2465
  • [4] Finite time stability of switched nonlinear singular systems with stable and unstable subsystems
    Yang Ying
    Chen Guopei
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 2355 - 2360
  • [5] Stability of bimodal planar switched linear systems with both stable and unstable subsystems
    Tripathi, Swapnil
    Agarwal, Nikita
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (15) : 3254 - 3285
  • [6] A general stability criterion for switched linear systems having stable and unstable subsystems
    San Martin, Jesus
    O'Farrell, Anthony G.
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2013, 27 (11) : 1000 - 1011
  • [7] Stability analysis for discrete-time switched systems with unstable subsystems by a mode-dependent average dwell time approach
    Zhang, Hongbin
    Xie, Dehua
    Zhang, Hongyu
    Wang, Gang
    ISA TRANSACTIONS, 2014, 53 (04) : 1081 - 1086
  • [8] Stability Analysis of Switched Linear Singular Systems with Unstable and Stable Modes
    Xiong, Jiandong
    Wang, Yidian
    Huo, Yanfang
    Zhao, Hongpeng
    ENTROPY, 2023, 25 (09)
  • [9] Exponential stability of totally positive switched linear systems with both stable and unstable subsystems
    Pan, Shiyao
    Shao, Yuanfu
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (14) : 8073 - 8085
  • [10] Stability of linear switched differential algebraic equations with stable and unstable subsystems
    Mu, Xiaowu
    Wei, Jumei
    Ma, Rui
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2013, 44 (10) : 1879 - 1884
12345