MIT EECS 6 . 241 ( FALL 2006 ) LECTURE NOTES BY A . MEGRETSKI 18 Kalman - Yakubovich - Popov Lemma
نویسنده
چکیده
Kalman-Yakubovich-Popov (KYP) Lemma (also frequently called “positive real lemma”) is a major result of the modern linear system theory. It is a collection of statements related to existence and properties of quadratic storage functions for LTI state space models and quadratic supply rates. The KYP Lemma is used in the derivation of H2 and H-Infinity optimal controllers, Hankel optimal reduced models, in the analysis of robustness of LTI systems, and also in convertion between frequency domain and time domain constraints. The KYP Lemma is associated with several statements, each concerning an LTI state space model: ẋ(t) = Ax(t) +Bw(t) (18.1)
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