Stabilization of third-order differential equation by delay distributed feedback control

Alexander Domoshnitsky; Shirel Shemesh; Alexander Sitkin; Ester Yakovi; Roman Yavich

doi:10.1186/s13660-018-1930-5

Stabilization of third-order differential equation by delay distributed feedback control

Alexander Domoshnitsky, Shirel Shemesh, Alexander Sitkin, Ester Yakovi, Roman Yavich

Department of Mathematics

Ariel University

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

Abstract

There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed.

Original language	English
Article number	341
Journal	Journal of Inequalities and Applications
Volume	2018
DOIs	https://doi.org/10.1186/s13660-018-1930-5
State	Published - 2018

Keywords

Cauchy function
Delay differential equations
Exponential stability
Stabilization
W-transform

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-018-1930-5

Cite this

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title = "Stabilization of third-order differential equation by delay distributed feedback control",

abstract = "There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed.",

keywords = "Cauchy function, Delay differential equations, Exponential stability, Stabilization, W-transform",

author = "Alexander Domoshnitsky and Shirel Shemesh and Alexander Sitkin and Ester Yakovi and Roman Yavich",

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year = "2018",

doi = "10.1186/s13660-018-1930-5",

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volume = "2018",

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T1 - Stabilization of third-order differential equation by delay distributed feedback control

AU - Domoshnitsky, Alexander

AU - Shemesh, Shirel

AU - Sitkin, Alexander

AU - Yakovi, Ester

AU - Yavich, Roman

PY - 2018

Y1 - 2018

N2 - There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed.

AB - There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed.

KW - Cauchy function

KW - Delay differential equations

KW - Exponential stability

KW - Stabilization

KW - W-transform

UR - http://www.scopus.com/inward/record.url?scp=85058215783&partnerID=8YFLogxK

U2 - 10.1186/s13660-018-1930-5

DO - 10.1186/s13660-018-1930-5

M3 - مقالة

SN - 1025-5834

VL - 2018

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 341

ER -

Stabilization of third-order differential equation by delay distributed feedback control

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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