DocumentCode
831441
Title
The matrix forms of Yakubovich-Kalman-Lefschetz theorems derived from the popov theory of positive systems
Author
Hattori, Atsumi ; Kobayashi, Kunihiro
Author_Institution
University of Tokushima, Tokushima, Japan
Volume
25
Issue
1
fYear
1980
fDate
2/1/1980 12:00:00 AM
Firstpage
102
Lastpage
104
Abstract
New matrix forms of the Yakubovich-Kalman-Lefschetz theorems have been obtained utilizing the positive systems theory of Popov. Four propositions are included. One of them extends the Lefschetz lemma and the others correspond to the Anderson similar theorems. The results will be useful for application in the field of adaptive systems design.
Keywords
Adaptive control; Linear systems, time-invariant continuous-time; Lyapunov methods; Popov stability; Positive real functions; Adaptive systems; Controllability; Equations; Frequency; Image analysis; Linear matrix inequalities; MIMO; Polynomials; Regulators; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1980.1102240
Filename
1102240
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