Local convex directions

Date

2001

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Source Title

Proceedings of the European Control Conference, IEEE 2001

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IEEE

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Pages

708 - 712

Language

English

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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).

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Published Version (Please cite this version)