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math.CV2012
Interpolation by polynomials with symmetries on the imaginary axis
Daniel Alpay, Izchak Lewkowicz
We here specialize the standard matrix-valued polynomial interpolation to the case where on the imaginary axis the interpolating polynomials admit various symmetries: Positive semi…
math.OC2012
State space realization of even generalized positive and odd rational function. Applications to static output feedback
Daniel Alpay, Izchak Lewkowicz
We here specialize the well known Positive Real Lemma (also known as the Kalman-Yakubovich-Popov Lemma) to complex matrix-valued rational functions, (i) generalized positive even a…