Fejér and Suffridge Polynomials in the Delayed Feedback Control Theory

Dmitriy Dmitrishin, Anna Khamitova, Anatolii Korenovskyi, Alexander M. Stokolos

Research output: Contribution to journalArticlepeer-review

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.

Original languageAmerican English
JournalarXiv Repository
StatePublished - Aug 1 2014

Keywords

  • Delayed Feedback Control Theory
  • Fejer Polynomials
  • Suffridge Polynomials

DC Disciplines

  • Education
  • Mathematics

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