On the multidimensional generalization of scattering Hurwitz property of complex polynomials

By utilizing recent stability results on the scattering as well as the immittance description of passive multidimensional systems, a characterization for the robustness of the scattering Hurwitz property of a given multidimensional complex polynomial in terms of the scattering Hurwitz property of a finite number of (multidimensional) complex polynomials is established. This result provides a complete proof of a recent conjecture the proof of which has so far been available for real polynomials involving two variables only.<>