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      • Department of Electrical and Electronics Engineering
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      Local convex directions

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      Author
      Özgüler, Arif Bülent
      Saadaoui, Karim
      Date
      2001
      Source Title
      Proceedings of the European Control Conference, IEEE 2001
      Publisher
      IEEE
      Pages
      708 - 712
      Language
      English
      Type
      Conference Paper
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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 directions
      Hermite-Biehler theorem
      Local convex directions
      Robust control
      Stabilization
      Robust control
      Stabilization
      Phase growth
      Permalink
      http://hdl.handle.net/11693/27918
      Published Version (Please cite this version)
      https://doi.org/10.23919/ECC.2001.7075993
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      • Department of Electrical and Electronics Engineering 3524
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