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math.OC2010
The positive real lemma and construction of all realizations of generalized positive rational functions
Daniel Alpay, Izchak Lewkowicz
We here extend the well known Positive Real Lemma (also known as the Kalman-Yakubovich-Popov Lemma) to complex matrix-valued generalized positive rational function, when non-minima…
math.OC2010
Convex Cones of Generalized Positive Rational Functions and Nevanlinna-Pick Interpolation
Daniel Alpay, Izchak Lewkowicz
Scalar rational functions with a non-negative real part on the right half plane, called positive, are classical in the study of electrical networks, dissipative systems, Nevanlinna…