DocumentCode
990706
Title
Stability robustness of interval matrices via Lyapunov quadratic forms
Author
Garofalo, F. ; Celentano, G. ; Glielmo, L.
Author_Institution
Dipartimento di Inf. e Sistemistica, Napoli Univ., Italy
Volume
38
Issue
2
fYear
1993
fDate
2/1/1993 12:00:00 AM
Firstpage
281
Lastpage
284
Abstract
A sufficient condition for the robust stability of a class of interval matrices is derived using the Lyapunov approach. The matrices considered have elements which are nonlinear functions of a vector of independent and bounded parameters. The robust stability condition requires that a quadratic form be positive definite in a finite number of conspicuous points of an enlarged parameter space
Keywords
Lyapunov methods; matrix algebra; stability; Lyapunov quadratic forms; interval matrices; nonlinear functions; robust stability; sufficient condition; Differential equations; Lyapunov method; Parametric study; Polynomials; Robust stability; Size measurement; State estimation; Sufficient conditions; Testing; Uncertain systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.250472
Filename
250472
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