A Computational Stability Analysis of Discrete-Time Piecewise Linear Systems

被引：9
|
作者：
Krishnamurthy, Satyajit A. [1 ]
Lee, Ji-Woong [1 ]
机构：
[1] Penn State Univ, Dept Elect Engn, University Pk, PA 16802 USA
来源：
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词：
HYBRID SYSTEMS; LYAPUNOV FUNCTIONS;
D O I：
10.1109/CDC.2009.5400925
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A computational method for stability analysis of discrete-time piecewise linear systems is presented. The method is based on combining the solutions to two separate problems: one is to obtain stabilizing switching sequences between linear dynamics, and the other is to obtain an increasing sequence of state-space partitions. Examples show that there are cases where the presented method is very useful.
引用
收藏
页码：1106 / 1111
页数：6
相关论文
共 50 条
  • [1] Stability analysis of piecewise discrete-time linear systems
    Feng, G
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) : 1108 - 1112
  • [2] On Stability Characterization of Discrete-time Piecewise Linear Systems
    Mirzazad-Barijough, Sanam
    Lee, Ji-Woong
    [J]. 2010 AMERICAN CONTROL CONFERENCE, 2010, : 916 - 921
  • [3] Stability Analysis of Uncertain Discrete-Time Piecewise Linear Systems with Time Delays
    Ou Ou is with College of Information Engineering
    [J]. Journal of Electronic Science and Technology, 2009, 7 (03) : 254 - 257
  • [4] Stability analysis of piecewise affine discrete-time systems
    Groff, Leonardo B.
    Valmorbida, Giorgio
    Gomes da Silva, Joao M., Jr.
    [J]. 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 8172 - 8177
  • [5] Stability analysis of discrete-time piecewise-linear systems: A generating function approach
    Kai Liu
    Jianghai Hu
    Yu Yao
    Baoqing Yang
    Xin Huo
    [J]. International Journal of Control, Automation and Systems, 2014, 12 : 1005 - 1010
  • [6] Stability Analysis of Discrete-Time Piecewise-Linear Systems: A Generating Function Approach
    Liu, Kai
    Hu, Jianghai
    Yao, Yu
    Yang, Baoqing
    Huo, Xin
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (05) : 1005 - 1010
  • [7] On Stability and Performance Analysis of Discrete-Time Piecewise Affine Systems
    Mirzazad-Barijough, Sanam
    Lee, Ji-Woong
    [J]. 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 4244 - 4249
  • [8] Separation in stability analysis of piecewise linear systems in discrete time
    Lee, Ji-Woong
    [J]. HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2008, 4981 : 626 - 629
  • [9] Analysis and Control of Discrete-Time Piecewise Linear Time-Delay Systems
    Xu, Mei-Jin
    Zhao, Yan
    Deng, Wei
    [J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 357 - +
  • [10] ON STABILITY OF LINEAR DISCRETE-TIME SYSTEMS
    VONGPANITLERD, S
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (02) : 207 - +
12345