Preservation of exponential stability for linear non-autonomous functional differential systems

Leonid Berezansky; Elena Braverman

doi:10.1016/j.automatica.2010.09.007

Preservation of exponential stability for linear non-autonomous functional differential systems

Leonid Berezansky
, Elena Braverman

Department of Mathematics

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

4 Scopus citations

Abstract

We consider preservation of exponential stability for a system of linear equations with a distributed delay under the addition of new terms and a delay perturbation. As particular cases, the system includes models with concentrated delays and systems of integrodifferential equations. Our method is based on BohlPerron type theorems.

Original language	English
Pages (from-to)	2077-2081
Number of pages	5
Journal	Automatica
Volume	46
Issue number	12
DOIs	https://doi.org/10.1016/j.automatica.2010.09.007
State	Published - 20 Oct 2010

Keywords

Distributed delay
Exponential stability
Perturbations
Systems with time delays

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2010.09.007

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title = "Preservation of exponential stability for linear non-autonomous functional differential systems",

abstract = "We consider preservation of exponential stability for a system of linear equations with a distributed delay under the addition of new terms and a delay perturbation. As particular cases, the system includes models with concentrated delays and systems of integrodifferential equations. Our method is based on BohlPerron type theorems.",

keywords = "Distributed delay, Exponential stability, Perturbations, Systems with time delays",

author = "Leonid Berezansky and Elena Braverman",

year = "2010",

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doi = "10.1016/j.automatica.2010.09.007",

language = "English",

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T1 - Preservation of exponential stability for linear non-autonomous functional differential systems

AU - Berezansky, Leonid

AU - Braverman, Elena

PY - 2010/10/20

Y1 - 2010/10/20

N2 - We consider preservation of exponential stability for a system of linear equations with a distributed delay under the addition of new terms and a delay perturbation. As particular cases, the system includes models with concentrated delays and systems of integrodifferential equations. Our method is based on BohlPerron type theorems.

AB - We consider preservation of exponential stability for a system of linear equations with a distributed delay under the addition of new terms and a delay perturbation. As particular cases, the system includes models with concentrated delays and systems of integrodifferential equations. Our method is based on BohlPerron type theorems.

KW - Distributed delay

KW - Exponential stability

KW - Perturbations

KW - Systems with time delays

UR - https://www.scopus.com/pages/publications/78249231398

U2 - 10.1016/j.automatica.2010.09.007

DO - 10.1016/j.automatica.2010.09.007

M3 - Article

AN - SCOPUS:78249231398

SN - 0005-1098

VL - 46

SP - 2077

EP - 2081

JO - Automatica

JF - Automatica

IS - 12

ER -

Preservation of exponential stability for linear non-autonomous functional differential systems

Abstract

Keywords

ASJC Scopus subject areas

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