Fejér and Suffridge Polynomials in the Delayed Feedback Control Theory

Authors

Dmitriy Dmitrishin, Odessa National Polytechnic UniversityFollow
Anna Khamitova, Georgia Southern UniversityFollow
Anatolii Korenovskyi, Odessa National Polytechnic UniversityFollow
Alexander M. Stokolos, Georgia Southern UniversityFollow

Document Type

Preprint

Publication Date

8-1-2014

Publication Title

arXiv Repository

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

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Recommended Citation

Dmitrishin, Dmitriy, Anna Khamitova, Anatolii Korenovskyi, Alexander M. Stokolos. 2014. "Fejér and Suffridge Polynomials in the Delayed Feedback Control Theory." arXiv Repository: 1-34. source: https://arxiv.org/abs/1408.0163
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/667