Conditions of Asymptotic Stability for Linear Homogeneous Switched Systems

被引：15
|
作者：
Ivanov, Gennady [1 ]
Alferov, Gennady [1 ]
Sharlay, Artem [1 ]
Efimova, Polina [1 ]
机构：
[1] St Petersburg State Univ, Appl Math & Control Proc, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016) | 2017年 / 1863卷
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1063/1.4992263
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article the authors prove the theorems giving the necessary and sufficient conditions for stability of robotic and mechatronic systems motionin terms of Lyapunov functions theory with the use of set-theoretic approach.
引用
收藏
页数：4
相关论文
共 50 条
  • [21] Homogeneous S-Lemma and its application to asymptotic stability of a class of switched nonlinear systems
    Zhang Kuize
    Zhang Lijun
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 442 - 447
  • [22] Equivalence of several stability conditions for switched linear systems with dwell time
    Li, Yang
    Zhang, Hongbin
    Zhang, Liangliang
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (01) : 306 - 331
  • [23] On robust Lie-algebraic stability conditions for switched linear systems
    Agrachev, Andrei A.
    Baryshnikov, Yuliy
    Liberzon, Daniel
    SYSTEMS & CONTROL LETTERS, 2012, 61 (02) : 347 - 353
  • [24] Explicit Sufficient Stability Conditions on Dwell Time of Linear Switched Systems
    Karabacak, Ozkan
    Ilhan, Ferruh
    Oner, Isil
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 6266 - 6270
  • [25] On the Asymptotic Stability of Nonlinear Mechanical Switched Systems
    Platonov, A. V.
    EIGHTH POLYAKHOV'S READING, 2018, 1959
  • [26] Asymptotic stability of m-switched systems
    Liu, Yuzhong
    Zhao, Jun
    Kongzhi Lilun Yu Yinyong/Control Theory and Applications, 2001, 18 (05):
  • [27] Exponential Stability of Switched Positive Homogeneous Systems
    Tian, Dadong
    Liu, Shutang
    COMPLEXITY, 2017,
  • [28] Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
    Araghi, L. F.
    Suratgar, A. A.
    Feizi, E.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [29] ASYMPTOTIC STABILITY CONDITIONS FOR LINEAR TIME-DELAY SYSTEMS.
    Mori, Takehiro
    1600, (105):
  • [30] Asymptotic stability conditions for a class of hybrid mechanical systems with switched nonlinear positional forces
    Aleksandrov, Alexander
    Aleksandrova, Elena
    NONLINEAR DYNAMICS, 2016, 83 (04) : 2427 - 2434
12345