Stabilization of n-Order Function Differential Equations by Parametric Distributed Control Function with Palindromic Parameters Set

Irina Volinsky, Roman Shklyar

Research output: Contribution to journalArticlepeer-review

Abstract

Stabilization by a parametric distributed control function plays a very important role in aeronautics, aerospace and physics. Choosing the right parameters is necessary for handling the distributed control. In the current paper, we introduce stabilization criteria for an n-order functional-differential equation with a parametric distributed control function in n-term integrals and (Formula presented.) parameter sets. In our article, we use properties of unimodal and log-concave polynomials.

Original languageEnglish
Article number2569
JournalMathematics
Volume11
Issue number11
DOIs
StatePublished - Jun 2023

Keywords

  • exponential stability
  • feedback control
  • functional differential equations
  • log-concave
  • palindromes
  • unimodality

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Engineering (miscellaneous)
  • General Mathematics

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