Constructing convex directions for stable polynomials
Özgüler, A. B.
IEEE Transactions on Automatic Control
1565 - 1569
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The constructions of convex directions based on phase-derivative interpretations were obtained for Hurwitz-stable polynomials. The phase-derivative conditions were based on the sensitivity of root-locus associated with the even and odd parts of a polynomial. The phase-growth condition directly established anti-Hurwitz polynomials, polynomials of degree one, even polynomials and odd polynomials for the entire set of Hurwitz polynomials.
Hermite biehler theorem
Hurwitz stable polynomials