This 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.
Institute for Mathematics and Its Applications>IMA Preprints Series
Yu, Wensheng; Wang, Long.
General solution to the robust strictly positive real synthesis problem for polynomial segments.
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