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 :
