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Selected Works of Alexander M. Stokolos
Article
Fejér and Suffridge Polynomials in the Delayed Feedback Control Theory
arXiv Repository
  • Dmitriy Dmitrishin, Odessa National Polytechnic University
  • Anna Khamitova, Georgia Southern University
  • Anatolii Korenovskyi, Odessa National Polytechnic University
  • Alexander M. Stokolos, Georgia Southern University
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Document Type
Preprint
Publication Date
8-1-2014
Disciplines
Abstract

A remarkable connection between optimal delayed feedback control (DFC) and complex polynomial mappings of the unit disc is established. The explicit form of extremal polynomials turns out to be related with the Fejer polynomials. The constructed DFC can be used to stabilize cycles of one-dimensional non-linear discrete systems.

Comments

This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the authors must hold the rights or the work must be under Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration.

Citation Information
Dmitriy Dmitrishin, Anna Khamitova, Anatolii Korenovskyi and Alexander M. Stokolos. "Fejér and Suffridge Polynomials in the Delayed Feedback Control Theory" arXiv Repository (2014) p. 1 - 34
Available at: http://works.bepress.com/alex_stokolos/40/