Local convex directions

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Abstract

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).

Source Title

Proceedings of the European Control Conference, IEEE 2001

Publisher

IEEE

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Citation

Published Version (Please cite this version)

Language

English