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Representation of rational positive real functions of several variables by means of positive long resolvent
Published 3 Mar 2021 in math.CV | (2103.02541v1)
Abstract: A rational homogeneous (of degree one) positive real matrix-valued function is presented as the Schur complement of a block of the linear pencil with positive semidefinite matrix coefficients. The partial derivative numerators of a rational positive real function are the sums of squares of polynomials.
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