DocumentCode
3468054
Title
Sufficient conditions for Hurwitz and Schur stability of interval matrices
Author
Kraus, F.J. ; Mansour, M.
Author_Institution
Autom. Control Lab., ETH-Zurich, Switzerland
fYear
1991
fDate
11-13 Dec 1991
Firstpage
3043
Abstract
It is shown that the simplified sufficient conditions for the asymptotic Hurwitz stability of interval matrices derived by M. Mansour (1989) can be further simplified by considering the directions of the associated maximizing vectors. The number of extreme matrices to be checked is reduced from 2n(n-1)/2 to 2n-1. The same approach can also be used for Schur stability. Then, the number of extreme matrices to be checked is 22n-1
Keywords
matrix algebra; stability criteria; Schur stability; asymptotic Hurwitz stability; extreme matrices; interval matrices; maximizing vectors; stability conditions; Asymptotic stability; Automatic control; Laboratories; Sufficient conditions; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location
Brighton
Print_ISBN
0-7803-0450-0
Type
conf
DOI
10.1109/CDC.1991.261106
Filename
261106
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