Local convex directions
Author
Özgüler, Arif Bülent
Saadaoui, Karim
Date
2001Source Title
Proceedings of the European Control Conference, IEEE 2001
Publisher
IEEE
Pages
708 - 712
Language
English
Type
Conference PaperItem Usage Stats
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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).
Keywords
Convex directionsHermite-Biehler theorem
Local convex directions
Robust control
Stabilization
Robust control
Stabilization
Phase growth