Complete Solution to the General Robust Strictly Positive Real Synthesis Problem for Polynomial Segments

Abstract

For any two n-th order polynomials a(s) and b(s), the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial c(s) such that c(s)/a(s) and c(s)/b(s) are both strictly positive real.

In this paper, a long-standing open problem in modern control theory has been constructively resolved