Browsing by Subject "Convex directions"

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    Local convex directions
    (IEEE, 2001) Özgüler, Arif Bülent; Saadaoui, Karim
    A proof of a strengthened version of the phase growth condition for Hurwitz stable polynomials is given. Based on this result, a necessary and sufficient condition for a polynomial p(s) to be a local convex direction for a Hurwitz stable polynomial q(s) is obtained. The condition is in terms of polynomials associated with the even and odd parts of p(s) and q(s).
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    ItemOpen Access
    Local convex directions for Hurwitz stable polynomials
    (IEEE, 2002) Özgüler, A. B.; Saadaoui, K.
    A new condition for a polynomial p(s) to be a local convex direction for a Hurwitz stable polynomial q(s) is derived. The condition is in terms of polynomials associated with the even and odd parts of p(s) and q(s), and constitutes a generalization of Rantzer's phase-growth condition for global convex directions. It is used to determine convex directions for certain subsets of Hurwitz stable polynomials.