DocumentCode
845605
Title
Conditions for minimizing the norm sensitivity of characteristic roots
Author
Gilbert, Elmer G.
Author_Institution
University of Michigan, Ann Arbor, MI, USA
Volume
29
Issue
7
fYear
1984
fDate
7/1/1984 12:00:00 AM
Firstpage
658
Lastpage
661
Abstract
The sensitivity, of a characteristic root of an 
by real matrix is measured by the Euclidean norm of the root\´s n2derivatives with respect to the elements of the matrix. Let λ denote a real root and 
a complex root. Conditions for minimizing the sensitivity norms based on 
and 
are obtained. Since the conditions apply for all and involve simple algebraic properties of the matrix, they may have useful applications.
by real matrix is measured by the Euclidean norm of the root\´s n2derivatives with respect to the elements of the matrix. Let λ denote a real root and a complex root. Conditions for minimizing the sensitivity norms based on and are obtained. Since the conditions apply for all and involve simple algebraic properties of the matrix, they may have useful applications.Keywords
Matrices; Polynomials; Sensitivity; Chromium; Control systems; Force measurement; Robust control; State feedback; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1984.1103608
Filename
1103608
Link To Document