General solution to the robust strictly positive real synthesis problem for polynomial segments

Yu, WenshengWang, Long2007-08-162007-08-162002-10https://hdl.handle.net/11299/3838This paper constructively solves a long standing open problem in modern control theory. Namely, 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.General solution to the robust strictly positive real synthesis problem for polynomial segments