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The matrix forms of Yakubovich-Kalman-Lefschetz theorems derived from the popov theory of positive systems

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2 Author(s)
Hattori, A. ; University of Tokushima, Tokushima, Japan ; Kobayashi, K.

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:25 ,  Issue: 1 )