Fejér Polynomials and Chaos

Dmitriy Dmitrishin, Anna Khamitova, Alexander M. Stokolos

Research output: Contribution to book or proceedingChapter

7 Scopus citations

Abstract

We show that given any μ > 1, an equilibrium x of a dynamic system (Formula Presented) can be robustly stabilized by a nonlinear control (Formula Presented) for f′(x) ∈ (−μ, 1). The magnitude of the minimal value N is of order (Formula Presented). The optimal explicit strength coefficients are found using extremal nonnegative Fejér polynomials. The case of a cycle as well as numeric examples and applications to mathematical biology are considered.

Original languageAmerican English
Title of host publicationSpecial Functions, Partial Differential Equations, and Harmonic Analysis: In Honor of Calixto P. Calderón
DOIs
StatePublished - Oct 15 2014

Keywords

  • Dynamic system
  • Extremal nonnegative Fejér polynomials
  • Mathematical biology
  • Nonlinear control

DC Disciplines

  • Education
  • Mathematics

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