DocumentCode
990809
Title
Robust stability manifolds for multilinear interval systems
Author
Chapellat, Herve ; Dahleh, Munther ; Bhattacharyya, S.P.
Author_Institution
Etude et Productions Schlumberger, Clamart, France
Volume
38
Issue
2
fYear
1993
fDate
2/1/1993 12:00:00 AM
Firstpage
314
Lastpage
318
Abstract
The stability of a class of multilinearly perturbed families of systems is considered. It is shown how the problem of checking the stability of the entire family can be reduced to that of checking certain subsets that are independent of the degrees of the polynomials involved. The extremal property of these subsets is established. The results point to the need for a complete study of the stability of manifolds of polynomials composed of products of simple surfaces
Keywords
polynomials; stability; multilinear interval systems; multilinearly perturbed families of systems; polynomials; robust stability manifolds; Arithmetic; Eigenvalues and eigenfunctions; Feedback; Matrices; Nonlinear equations; Nonlinear systems; Notice of Violation; Riccati equations; Robust stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.250482
Filename
250482
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