Approximating structured singular values for discrete Fourier transformation matrices

被引：2
作者：
Rehman, Mutti-Ur [1 ]
Mehmood, Arshad [2 ]
机构：
[1] Sukkur IBA Univ, Dept Math, Sukkur 65200, Pakistan
[2] Univ Lahore, Dept Math, Gujrat Campus, Gujrat 50700, Pakistan
来源：
INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES | 2018年 / 5卷 / 12期
关键词：
Singular values; Structured singular values; Spectral radius; Low rank ODE's; Gradient system of ODE's;
D O I：
10.21833/ijaas.2018.12.014
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this article, we present the numerical computations of singular values and lower bounds of structured singular values, known as mu-values, for a family of Discrete Fourier Transform matrices. The mu-value is a well-known mathematical tool in linear control theory which speaks about the stability and instability analysis of feedback systems. The comparison of lower bounds of mu-values with the well-known MATLAB routine mussv is investigated. (C) 2018 The Authors. Published by IASE.
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收藏
页码：119 / 125
页数：7
相关论文
共 9 条
[1]   COMPUTATIONAL-COMPLEXITY OF MU-CALCULATION [J].
BRAATZ, RP ;
YOUNG, PM ;
DOYLE, JC ;
MORARI, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) :1000-1002
[2]  
Chen J, 1996, IEEE T AUTOMAT CONTR, V41, P1507
[3]   ROBUSTNESS IN THE PRESENCE OF MIXED PARAMETRIC UNCERTAINTY AND UNMODELED DYNAMICS [J].
FAN, MKH ;
TITS, AL ;
DOYLE, JC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (01) :25-38
[4]  
Hinrichsen D., 2005, MATH SYSTEMTHEORY, V48
[5]   Structured eigenvalue condition numbers [J].
Karow, Michael ;
Kressner, Daniel ;
Tisseur, Francoise .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2006, 28 (04) :1052-1068
[6]   On the computation of structured singular values and pseudospectra [J].
Karow, Michael ;
Kokiopoulou, Effrosyni ;
Kressner, Daniel .
SYSTEMS & CONTROL LETTERS, 2010, 59 (02) :122-129
[7]  
Packard A., 1988, Proceedings of the 27th IEEE Conference on Decision and Control (IEEE Cat. No.88CH2531-2), P2132, DOI 10.1109/CDC.1988.194710
[8]   A FORMULA FOR COMPUTATION OF THE REAL STABILITY RADIUS [J].
QIU, L ;
BERNHARDSSON, B ;
RANTZER, A ;
DAVISON, EJ ;
YOUNG, PM ;
DOYLE, JC .
AUTOMATICA, 1995, 31 (06) :879-890
[9]  
Rehman MU, 2017, INT J ADV APPL MATH, V4, P41
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