TY - JOUR
T1 - Stabilization of n-Order Function Differential Equations by Parametric Distributed Control Function with Palindromic Parameters Set
AU - Volinsky, Irina
AU - Shklyar, Roman
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/6
Y1 - 2023/6
N2 - 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.
AB - 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.
KW - exponential stability
KW - feedback control
KW - functional differential equations
KW - log-concave
KW - palindromes
KW - unimodality
UR - http://www.scopus.com/inward/record.url?scp=85161165833&partnerID=8YFLogxK
U2 - 10.3390/math11112569
DO - 10.3390/math11112569
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AN - SCOPUS:85161165833
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 11
M1 - 2569
ER -