On the design of strictly positive real transfer functions
Horacio Jose Marquez, Christopher John Damaren · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1995
The synthesis of strictly positive real transfer functions is considered. For a given Hurwitz polynomial of degree n comprising the denominator polynomial, necessary and sufficient conditions on the numerator which render a rational function strictly positive real are given. In the case where the function is strictly proper, a parameterization of the polynomial numerator by n real numbers satisfying a simple constraint is provided. The approach taken employs factorization of a polynomial into its even and odd parts. The relationship of the results to those provided by the Kalman-Yakubovich lemma is given and the present method shown to have certain advantages.>