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

被引：0

作者：

Volinsky, Irina ^{[1
]}

Shklyar, Roman ^{[1
]}

机构：

[1] Ariel Univ, Dept Math, IL-40700 Ariel, Israel

来源：

MATHEMATICS | 2023年 / 11卷 / 11期

关键词：

functional differential equations; exponential stability; feedback control; palindromes; unimodality; log-concave; DELAY; FEEDBACK; STABILITY; SYSTEMS;

D O I：

10.3390/math11112569

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页数：10

共 17 条

[1] A New Approach for Stabilization Criteria of n-Order Function Differential Equation by Distributed Control Function
Volinsky, Irina
SYMMETRY-BASEL, 2023, 15 (04):
[2] New monotonicity properties and oscillation of n-order functional differential equations with deviating argument
Baculikova, Blanka
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023, (30) : 1 - 10
[3] Stabilization of third-order differential equation by delay distributed feedback control
Domoshnitsky, Alexander
Shemesh, Shirel
Sitkin, Alexander
Yakovi, Ester
Yavich, Roman
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[4] STABILIZATION OF THIRD ORDER DIFFERENTIAL EQUATION BY DELAY DISTRIBUTED FEEDBACK CONTROL WITH UNBOUNDED MEMORY
Domoshnitsky, Alexander
Volinsky, Irina
Polonsky, Anatoly
MATHEMATICA SLOVACA, 2019, 69 (05) : 1165 - 1176
[5] Conformable fractional stochastic differential equations with control function
Ahmed, Hamdy M.
SYSTEMS & CONTROL LETTERS, 2021, 158
[6] Stabilization of third-order differential equation by delay distributed feedback control
Alexander Domoshnitsky
Shirel Shemesh
Alexander Sitkin
Ester Yakovi
Roman Yavich
Journal of Inequalities and Applications, 2018
[7] Stabilization and Finite Time Stabilization of Nonlinear Differential Inclusions Based on Control Lyapunov Function
Huang, Jun
Yu, Lei
Xia, Shangwen
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (07) : 2319 - 2331
[8] Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design
Boussaada, Islam
Niculescu, Silviu-Iulian
El-Ati, Ali
Perez-Ramos, Redamy
Trabelsi, Karim
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2020, 26
[9] Describing function based methods for predicting chaos in a class of fractional order differential equations
Tavazoei, Mohammad Saleh
Haeri, Mohammad
NONLINEAR DYNAMICS, 2009, 57 (03) : 363 - 373
[10] The convergence properties of the Green's function method for third order functional differential equations
Bica, Alexandru Mihai
Curila, Diana
COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (08)

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