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
fDate :
2/1/1980 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1980.1102240
