2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65506For the two sixth-order polynomials $a(s)$ and $b(s),$ 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. Our reasoning method is constructive, and is insightful and helpful in solving the general robust strictly positive real synthesis problem.Optimization and ControlDynamical Systems93D30Robust Strictly Positive Real Synthesis for Convex Combination of Sixth-Order Polynomialstext