Stability of neutral delay differential equations with applications in a model of human balancing

Alexander Domoshnitsky; Shai Levi; Ron Hay Kappel; Elena Litsyn; Roman Yavich

doi:https://doi.org/10.1051/mmnp/2021008

Stability of neutral delay differential equations with applications in a model of human balancing

Alexander Domoshnitsky, Shai Levi, Ron Hay Kappel, Elena Litsyn, Roman Yavich

Department of Mathematics

Ariel University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper the exponential stability of linear neutral second order differential equations is studied. In contrast with many other works, coefficients and delays in our equations can be variable. The neutral term makes this object essentially more complicated for the study. A new method for the study of stability of neutral equation based on an idea of the Azbelev W-transform has been proposed. An application to stabilization in a model of human balancing has been described. New stability tests in explicit form are proposed.

Original language	English
Article number	mmnp200320
Journal	Mathematical Modelling of Natural Phenomena
Volume	16
DOIs	https://doi.org/10.1051/mmnp/2021008
State	Published - 1 Jan 2021

Keywords

Cauchy function
Cauchy functions
Delay equations
Exponential estimates of solutions
Uniform exponential stability

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Applied Mathematics

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https://doi.org/10.1051/mmnp/2021008

Cite this

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title = "Stability of neutral delay differential equations with applications in a model of human balancing",

abstract = "In this paper the exponential stability of linear neutral second order differential equations is studied. In contrast with many other works, coefficients and delays in our equations can be variable. The neutral term makes this object essentially more complicated for the study. A new method for the study of stability of neutral equation based on an idea of the Azbelev W-transform has been proposed. An application to stabilization in a model of human balancing has been described. New stability tests in explicit form are proposed.",

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author = "Alexander Domoshnitsky and Shai Levi and Kappel, {Ron Hay} and Elena Litsyn and Roman Yavich",

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AU - Domoshnitsky, Alexander

AU - Levi, Shai

AU - Kappel, Ron Hay

AU - Litsyn, Elena

AU - Yavich, Roman

N1 - Publisher Copyright: © The authors. Published by EDP Sciences, 2021

PY - 2021/1/1

Y1 - 2021/1/1

N2 - In this paper the exponential stability of linear neutral second order differential equations is studied. In contrast with many other works, coefficients and delays in our equations can be variable. The neutral term makes this object essentially more complicated for the study. A new method for the study of stability of neutral equation based on an idea of the Azbelev W-transform has been proposed. An application to stabilization in a model of human balancing has been described. New stability tests in explicit form are proposed.

AB - In this paper the exponential stability of linear neutral second order differential equations is studied. In contrast with many other works, coefficients and delays in our equations can be variable. The neutral term makes this object essentially more complicated for the study. A new method for the study of stability of neutral equation based on an idea of the Azbelev W-transform has been proposed. An application to stabilization in a model of human balancing has been described. New stability tests in explicit form are proposed.

KW - Cauchy function

KW - Cauchy functions

KW - Delay equations

KW - Exponential estimates of solutions

KW - Uniform exponential stability

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U2 - https://doi.org/10.1051/mmnp/2021008

DO - https://doi.org/10.1051/mmnp/2021008

M3 - مقالة

SN - 0973-5348

VL - 16

JO - Mathematical Modelling of Natural Phenomena

JF - Mathematical Modelling of Natural Phenomena

M1 - mmnp200320

ER -

Stability of neutral delay differential equations with applications in a model of human balancing

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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