DocumentCode
888619
Title
Sufficient conditions on stability of interval matrices: connections and new results
Author
Chen, Jie
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Volume
37
Issue
4
fYear
1992
fDate
4/1/1992 12:00:00 AM
Firstpage
541
Lastpage
544
Abstract
The stability properties of interval matrices are discussed. Sufficient conditions are given for these properties based upon Gershgorin´s theorem and its extension, and they are shown to improve previous results. The derivation helps clarify relations between certain previously available results and shows they can be derived using Gershgorin´s theorem. Furthermore, the problem of determining the stability of interval matrices is related to that of characterizing certain nonsingular M-matrices.<>
Keywords
matrix algebra; stability; Gershgorin´s theorem; interval matrices; nonsingular M-matrices; stability; sufficient conditions; Aerospace engineering; Eigenvalues and eigenfunctions; Stability analysis; Sufficient conditions; Testing; Yield estimation;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.126595
Filename
126595
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