Robust Stability of Switched Systems

被引：0
|
作者：
Sloth, Christoffer [1 ]
Wisniewski, Rafael [1 ]
机构：
[1] Aalborg Univ, Sect Automat & Control, DK-9220 Aalborg, Denmark
来源：
2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年
关键词：
POLYNOMIALS;
D O I：
暂无
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 presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function. A certificate of positivity in the Bernstein basis always exists if a polynomial is positive, and the Bernstein basis is shown to be well conditioned.
引用
收藏
页码：4685 / 4690
页数：6
相关论文
共 50 条
  • [1] On robust stability of switched homogeneous systems
    Yang, Hao
    Zhao, Dong
    Jiang, Bin
    Ding, Shihong
    IET CONTROL THEORY AND APPLICATIONS, 2021, 15 (05): : 758 - 770
  • [2] On robust stability of switched linear systems
    Son, Nguyen Khoa
    Ngoc, Le Van
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (01): : 19 - 29
  • [3] Robust stability of impulsive switched systems with disturbance
    Liu, Xinzhi
    Zhang, Hongtao
    ANZIAM JOURNAL, 2006, 48 : 259 - 270
  • [4] Robust stability and robust stabilizability for periodically switched linear systems
    Do Duc Thuan
    Le Van Ngoc
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 361 : 112 - 130
  • [5] Robust stability of positive switched systems with dwell time
    Liu, Jinjin
    Zhang, Kanjian
    Wei, Haikun
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2016, 47 (11) : 2553 - 2562
  • [6] Robust stability of switched nonlinear systems with delay and sampling
    Wang, Yue-E
    Wu, Di
    Karimi, Hamid Reza
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (05) : 2570 - 2584
  • [7] Robust stability and stabilization of a class of impulsive switched systems
    Ding, XJ
    Xu, HL
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 2 : 795 - 798
  • [8] Frequency conditions for robust stability of a class of switched systems
    Brusin, VA
    DOKLADY MATHEMATICS, 2001, 63 (01) : 133 - 135
  • [9] Robust stability and stabilization of a class of nonlinear switched systems
    Ji, ZJ
    Wang, L
    PROCEEDINGS OF THE 25TH IASTED INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION, AND CONTROL, 2006, : 37 - +
  • [10] Robust Stability of Switched Nonlinear Systems With Switching Uncertainties
    Yang, Hao
    Jiang, Bin
    Tao, Gang
    Zhou, Donghua
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (09) : 2531 - 2537
12345