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

Irina Volinsky () and Roman Shklyar ()
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Irina Volinsky: Department of Mathematics, Ariel University, Ariel 40700, Israel
Roman Shklyar: Department of Mathematics, Ariel University, Ariel 40700, Israel

Mathematics, 2023, vol. 11, issue 11, 1-10

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 2 n parameter sets. In our article, we use properties of unimodal and log-concave polynomials.

Keywords: functional differential equations; exponential stability; feedback control; palindromes; unimodality; log-concave (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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