EXPONENTIAL STABILITY FOR SYSTEMS OF VECTOR NEUTRAL DIFFERENTIAL EQUATIONS

L. Berezansky; E. Braverman

doi:10.26351/FDE/29/3-4/3

EXPONENTIAL STABILITY FOR SYSTEMS OF VECTOR NEUTRAL DIFFERENTIAL EQUATIONS

L. Berezansky, E. Braverman

Department of Mathematics

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

Abstract

Uniform exponential stability conditions are obtained for a system of neutral vector equations with both concentrated and distributed delays (formula equation) We assume that the matrix coefficients A^k_i , B_ij^k , kernels P_ij and the delayed arguments are Lebesgue measurable. All the tests are explicit, in terms of M-matrices. The proofs are based on estimates of solutions and derivatives, combined with further application of the Bohl-Perron theorem.

Original language	English
Pages (from-to)	149-166
Number of pages	18
Journal	Functional Differential Equations
Volume	29
Issue number	3-4
DOIs	https://doi.org/10.26351/FDE/29/3-4/3
State	Published - 1 Jan 2022

Keywords

Bohl-Perron approach
Distributed delay
M-matrices
matrix measure
uniform exponential stability
vector neutral systems

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Numerical Analysis
Mathematical Physics
Control and Optimization

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10.26351/FDE/29/3-4/3

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title = "EXPONENTIAL STABILITY FOR SYSTEMS OF VECTOR NEUTRAL DIFFERENTIAL EQUATIONS",

abstract = "Uniform exponential stability conditions are obtained for a system of neutral vector equations with both concentrated and distributed delays (formula equation) We assume that the matrix coefficients Aki , Bijk , kernels Pij and the delayed arguments are Lebesgue measurable. All the tests are explicit, in terms of M-matrices. The proofs are based on estimates of solutions and derivatives, combined with further application of the Bohl-Perron theorem.",

keywords = "Bohl-Perron approach, Distributed delay, M-matrices, matrix measure, uniform exponential stability, vector neutral systems",

author = "L. Berezansky and E. Braverman",

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AU - Berezansky, L.

AU - Braverman, E.

PY - 2022/1/1

Y1 - 2022/1/1

N2 - Uniform exponential stability conditions are obtained for a system of neutral vector equations with both concentrated and distributed delays (formula equation) We assume that the matrix coefficients Aki , Bijk , kernels Pij and the delayed arguments are Lebesgue measurable. All the tests are explicit, in terms of M-matrices. The proofs are based on estimates of solutions and derivatives, combined with further application of the Bohl-Perron theorem.

AB - Uniform exponential stability conditions are obtained for a system of neutral vector equations with both concentrated and distributed delays (formula equation) We assume that the matrix coefficients Aki , Bijk , kernels Pij and the delayed arguments are Lebesgue measurable. All the tests are explicit, in terms of M-matrices. The proofs are based on estimates of solutions and derivatives, combined with further application of the Bohl-Perron theorem.

KW - Bohl-Perron approach

KW - Distributed delay

KW - M-matrices

KW - matrix measure

KW - uniform exponential stability

KW - vector neutral systems

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VL - 29

SP - 149

EP - 166

JO - Functional Differential Equations

JF - Functional Differential Equations

IS - 3-4

ER -

EXPONENTIAL STABILITY FOR SYSTEMS OF VECTOR NEUTRAL DIFFERENTIAL EQUATIONS

Abstract

Keywords

ASJC Scopus subject areas

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