For 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.
Institute for Mathematics and Its Applications>IMA Preprints Series
Yu, Wensheng; Wang, Long.
Robust strictly positive real synthesis for convex combination of sixth-order polynomials, Wensheng Yu and Long Wang.
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