Stabilizing graph-dependent linear switched systems with unstable subsystems

被引：7
|
作者：
Agarwal, Nikita [1 ]
机构：
[1] Indian Inst Sci Educ & Res Bhopal, Dept Math, Bhopal Bypass Rd, Bhopal 462066, Madhya Pradesh, India
来源：
EUROPEAN JOURNAL OF CONTROL | 2020年 / 53卷
关键词：
Piecewise-continuous dynamical systems; Graph theory; Control theory; DWELL TIME APPROACH; SYNCHRONIZATION; DYNAMICS;
D O I：
10.1016/j.ejcon.2019.10.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We give sufficient conditions for stability of a continuous-time linear switched system consisting of finitely many subsystems. The switching between subsystems is governed by an underlying graph. The results are applicable to switched systems having some or all non-Hurwitz subsystems. We also present a slow-fast switching mechanism on subsystems comprising simple loops of underlying graph to ensure stability of the switched system. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：20 / 28
页数：9
相关论文
共 50 条
  • [1] Robust Stabilization of Linear Switched Systems with Unstable Subsystems
    Rodriguez-Licea, Martin-Antonio
    Perez-Pinal, Francisco-J
    Prado Olivares, Juan
    APPLIED SCIENCES-BASEL, 2018, 8 (12):
  • [2] Stabilizing Switching Laws for Switched LPV Systems with All Unstable Subsystems
    He, Xu
    Dymirkovsky, Gyorgyi
    IEEE INTERNATIONAL CONFERENCE ON SYSTEM SCIENCE AND ENGINEERING (ICSSE 2013), 2013, : 377 - 382
  • [3] Stability of mode-dependent linear switched singular systems with stable and unstable subsystems
    Wei, Jumei
    Zhi, Huimin
    Liu, Kai
    Mu, Xiaowu
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (05): : 3102 - 3114
  • [4] 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
  • [5] Robust stability analysis of uncertain switched linear systems with unstable subsystems
    Yu, Qiang
    Wu, Baowei
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (07) : 1278 - 1287
  • [6] Stability Analysis for Linear Switched Time-Delay Systems with Unstable Subsystems
    Qu, Yuan-Chao
    Liu, Yu-Zhong
    Zhao, Xiao-Qi
    Zhang, Li-Na
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2251 - 2255
  • [7] Stability analysis of discrete-time switched linear systems with unstable subsystems
    Yu, Qiang
    Zhao, Xudong
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 718 - 725
  • [8] 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
  • [9] Stabilization and controller design of positive switched linear systems with all subsystems unstable
    Yanhao Ju
    Fanwei Meng
    Yuangong Sun
    Journal of Applied Mathematics and Computing, 2024, 70 : 1263 - 1273
  • [10] Stabilization and controller design of positive switched linear systems with all subsystems unstable
    Ju, Yanhao
    Meng, Fanwei
    Sun, Yuangong
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (02) : 1263 - 1273
12345