# An alternative Kalman-Yakubovich-Popov lemma and some extensions

@article{Graham2009AnAK,
title={An alternative Kalman-Yakubovich-Popov lemma and some extensions},
author={Matthew R. Graham and Maur{\'i}cio C. de Oliveira and Raymond A. de Callafon},
journal={Automatica},
year={2009},
volume={45},
pages={1489-1496}
}
This paper introduces an alternative formulation of the Kalman–Yakubovich–Popov (KYP) Lemma, relating an infinite dimensional Frequency Domain Inequality (FDI) to a pair of finite dimensional Linear Matrix Inequalities (LMI). It is shown that this new formulation encompasses previous generalizations of the KYP Lemma which hold in the case the coefficient matrix of the FDI does not depend on frequency. In addition, it allows the coefficient matrix of the frequency domain inequality to vary… CONTINUE READING
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