On a common quadratic Lyapunov function for widely distant systems

被引:52
|
作者
Ooba, T
Funahashi, Y
机构
[1] Department of Mechanical Engineering, Nagoya Institute of Technology, Nagoya
关键词
linear dynamical systems; Lyapunov stability; positive matrices;
D O I
10.1109/9.650019
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 sufficient condition concerning the construction of a common quadratic Lyapunov function for widely distant linear systems is presented.
引用
收藏
页码:1697 / 1699
页数:3
相关论文
共 50 条
  • [1] An algorithm for common quadratic Lyapunov function
    Cheng, DZ
    Martin, C
    Xiang, JP
    PROCEEDINGS OF THE 3RD WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-5, 2000, : 2965 - 2969
  • [2] On a class of linear constant systems which have a common quadratic Lyapunov function
    Mori, Y
    Mori, T
    Kuroe, Y
    PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 2808 - 2809
  • [3] Common Quadratic Lyapunov Function for Two Classes of Special Switched Linear Systems
    Wang, Chaoqing
    Shen, Tielong
    Ji, Haibo
    IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2014, E97D (02): : 175 - 183
  • [4] On a class of linear constant systems which have a common quadratic Lyapunov function
    Mori, Yoshihiro
    Mori, Takehiro
    Kuroe, Yasuaki
    Proceedings of the IEEE Conference on Decision and Control, 1998, 3 : 2808 - 2809
  • [5] Matrix search algorithm of robust common quadratic Lyapunov function for uncertain switched systems
    Zhang, Xiaoyu
    Li, Ping
    Shen, Bin
    CIVIL, ARCHITECTURE AND ENVIRONMENTAL ENGINEERING, VOLS 1 AND 2, 2017, : 1417 - 1423
  • [6] THE COMPUTATION OF A COMMON STANDARD QUADRATIC LYAPUNOV FUNCTION FOR TRIDIAGONAL SYSTEM
    Yu, Miao
    Gao, Yan
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2009, 3 (01): : 19 - 31
  • [7] Finding a common quadratic Lyapunov function using conical hulls
    Sasongko, Rianto Adhy
    Allwright, J. C.
    ICINCO 2006: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS: INTELLIGENT CONTROL SYSTEMS AND OPTIMIZATION, 2006, : 113 - +
  • [8] On the existence of a common quadratic Lyapunov function for a rank one difference
    King, Christopher
    Nathanson, Michael
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (2-3) : 400 - 416
  • [9] Existence of a common quadratic Lyapunov function for discrete switched linear systems with m stable subsystems
    Sun, C.
    Fang, B.
    Huang, W.
    IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (03): : 535 - 537
  • [10] A Necessary and Sufficient Condition for the Existence of a Common Quadratic Lyapunov Function for Switched Linear Interval Systems
    Kim, Byeong-Yeon
    Ahn, Hyo-Sung
    2011 11TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS), 2011, : 97 - 102