On stability of interval matrices
Date
1994-02Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
Electronic ISSN
1558-2523
Publisher
Institute of Electrical and Electronics Engineers
Volume
39
Issue
2
Pages
368 - 371
Language
English
Type
ArticleItem Usage Stats
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Abstract
New sufficient, and sometimes necessary and sufficient conditions, are obtained for Schur- and Hurwitz-stability of interval matrices by relying on the concept of connective stability and M-matrices. The necessity part is broadened to include interval matrices with mixed signs of the off-diagonal elements, provided the sign patterns follow that of the Morishima matrix. The obtained results are extended to cover convex combinations of interval matrices.
Keywords
TestingStability analysis
Parameter estimation
Stochastic processes
Robust stability
Kalman filters
Filtering
Adaptive control
Least squares approximation
Stochastic systems