Stabilization of planar discrete-time switched systems: Switched Lyapunov functional approach

被引：11
|
作者：
Sun, Yuan Gong [1 ,2 ]
Wang, Long [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[2] Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 04期
关键词：
Discrete-time switched system; Stabilization; Switched quadratic Lyapunov function; Necessary and sufficient condition;
D O I：
10.1016/j.nahs.2008.09.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the problem of stabilization for single-input planar discrete-time switched systems by establishing necessary and/or sufficient conditions for the existence of switched quadratic Lyapunov functions of the closed-loop system. The results given in terms of a series of matrix inequalities generalize those results in our recent paper [Y.G. Sun, L Wang, G. Xie, Necessary and sufficient conditions for stabilization of discrete-time planar switched systems, Nonlinear Anal.: Theory and Methods 65 (2006) 1039-1049] and clearly describe the set of switched quadratic Lyapunov functions for the system. (C) 2008 Published by Elsevier Ltd
引用
收藏
页码：1062 / 1068
页数：7
相关论文
共 50 条
  • [21] Stability analysis of discrete-time switched systems: a switched homogeneous Lyapunov function method
    Liu, Xingwen
    Zhao, Xudong
    INTERNATIONAL JOURNAL OF CONTROL, 2016, 89 (02) : 297 - 305
  • [22] Exponential stabilization of discrete-time switched linear systems
    Zhang, Wei
    Abate, Alessandro
    Hu, Jianghai
    Vitus, Michael P.
    AUTOMATICA, 2009, 45 (11) : 2526 - 2536
  • [23] Periodic Stabilization of Discrete-Time Switched Linear Systems
    Lee, Donghwan
    Hu, Jianghai
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 4260 - 4265
  • [24] STATIC SWITCHED OUTPUT FEEDBACK STABILIZATION FOR LINEAR DISCRETE-TIME SWITCHED SYSTEMS
    Ben Attia, Selma
    Salhi, Salah
    Ksouri, Mekki
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2012, 8 (5A): : 3203 - 3213
  • [25] Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm
    Chiou, Juing-Shian
    Cheng, Chun-Ming
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 751 - 759
  • [26] Language constrained stabilization of discrete-time switched linear systems: an LMI approach
    Jungers, Marc
    Girard, Antoine
    Fiacchini, Mirko
    IFAC PAPERSONLINE, 2018, 51 (16): : 25 - 30
  • [27] Stabilization of discrete-time switched linear singular systems via a stochastic approach
    Men, Bo
    Zhang, Qingling
    Wang, Guoliang
    Zhou, Juan
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (02): : 631 - 637
  • [28] A Descriptor System Approach to Stability and Stabilization of Discrete-Time Switched PWA Systems
    Zhu, Yanzheng
    Zhong, Zhixiong
    Basin, Michael V.
    Zhou, Donghua
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (10) : 3456 - 3463
  • [29] Exponential stability of discrete-time switched systems based on a switched time-varying Lyapunov function
    Jiang, Na
    Sun, Yuangong
    2022 22ND INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2022), 2022, : 93 - 98
  • [30] A New Lyapunov Approach to Stability Analysis of Discrete-time Switched Linear Singular Systems
    Men Bo
    Li Xiaosong
    Zhang Qingling
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 2464 - +
12345