DocumentCode
1233602
Title
Exact Maximum Singular Value Calculation of an Interval Matrix
Author
Ahn, Hyo-Sung ; Chen, Yang Quan
Author_Institution
Electron. & Telecommun. Res. Inst., Daejeon
Volume
52
Issue
3
fYear
2007
fDate
3/1/2007 12:00:00 AM
Firstpage
510
Lastpage
514
Abstract
In this note, we present a method for calculating the maximum singular value of an interval matrix. First, we provide an algorithm for calculating the maximum singular value of a square interval matrix. Then, based on this algorithm, we extend the result to non-square interval matrix case and to the case of computing the minimum singular value. Through numerical examples, the validity of the suggested methods is illustrated. Particularly, we compare the newly-proposed method with an existing method to show that the new method finds the correct bound of the maximum singular value with no exception
Keywords
numerical stability; polynomial matrices; singular value decomposition; analytical stability problem; exact maximum singular value calculation; interval polynomial matrix; nonsquare interval matrix; square interval matrix; Convergence; Eigenvalues and eigenfunctions; Intelligent robots; Linear matrix inequalities; Linear systems; Polynomials; Robust control; Stability; Symmetric matrices; Uncertainty; Interval matrix; maximum singular value;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2006.890475
Filename
4132892
Link To Document