DocumentCode :
1006951
Title :
Stability of interval matrices: the real eigenvalue case
Author :
Rohn, Jiri
Author_Institution :
Dept. of Appl. Math., Charles Univ., Prague, Czechoslovakia
Volume :
37
Issue :
10
fYear :
1992
fDate :
10/1/1992 12:00:00 AM
Firstpage :
1604
Lastpage :
1605
Abstract :
C.V. Hollot and A.C. Bartlett (1987) showed that testing at most 2 to the n2 certain matrices for stability is sufficient for verifying stability of an n×n interval matrix with real eigenvalues. It is proven that this upper bound can be reduced to 22n-1, and a special case where testing only two matrices is needed is considered
Keywords :
eigenvalues and eigenfunctions; matrix algebra; stability criteria; interval matrix; matrix algebra; real eigenvalues; stability; upper bound; Artificial intelligence; Computer aided software engineering; Eigenvalues and eigenfunctions; Geometry; Mathematics; Polynomials; Stability; Testing; Upper bound;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.256393
Filename :
256393
Link To Document :
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