IEEE Transactions on Automatic Control, Vol.46, No.7, 1089-1093, 2001
On Kalman-Yakubovich-Popov Lemma for stabilizable systems
The Kalman-Yakubovich-Popov (KYP) Lemma has been a cornerstone in System Theory and Network Analysis and Synthesis. It relates an analytic property of a square transfer matrix in the frequency domain to a set of algebraic equations involving parameters of a minimal realization in time domain. This note proves that the KYP lemma is also valid for realizations which are stabilizable and observable.