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 9 条
[1]  
[Anonymous], 1979, NONNEGATIVE MATRICES
[2]  
Boyd S, 1994, STUDIES APPL MATH, V15
[3]  
Gale D., 1965, MATH ANN, V159, P81
[4]   THE SENSITIVITY OF THE STABLE LYAPUNOV EQUATION [J].
HEWER, G ;
KENNEY, C .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1988, 26 (02) :321-344
[5]   A COMMON LYAPUNOV FUNCTION FOR STABLE LTI SYSTEMS WITH COMMUTING A-MATRICES [J].
NARENDRA, KS ;
BALAKRISHNAN, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (12) :2469-2471
[6]   Stability robustness for linear state space models - A Lyapunov mapping approach [J].
Ooba, T ;
Funahashi, Y .
SYSTEMS & CONTROL LETTERS, 1997, 29 (04) :191-196
[7]   Two conditions concerning common quadratic lyapunov functions for linear systems [J].
Ooba, T ;
Funahashi, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (05) :719-721
[8]   STABILIZATION OF UNCERTAIN SYSTEMS WITH NORM BOUNDED UNCERTAINTY - A CONTROL LYAPUNOV FUNCTION-APPROACH [J].
ROTEA, MA ;
KHARGONEKAR, PP .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (06) :1462-1476
[9]  
ZHOU K, 1987, IEEE T AUTOMAT CONTR, V32, P621, DOI 10.1109/TAC.1987.1104667