Robust Strictly Positive Real Synthesis for Polynomial Families of Arbitrary Order

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65509For 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.Optimization and ControlDynamical Systems93D15Robust Strictly Positive Real Synthesis for Polynomial Families of Arbitrary Ordertext