New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks

Leonid Berezansky; Elena Braverman; Lev Idels

doi:10.1016/j.amc.2014.06.060

New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks

Leonid Berezansky, Elena Braverman, Lev Idels

Department of Mathematics

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

41 Scopus citations

Abstract

We consider a nonlinear non-autonomous system with time-varying delays ^xi

Original language	English
Pages (from-to)	899-910
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	243
DOIs	https://doi.org/10.1016/j.amc.2014.06.060
State	Published - 15 Sep 2014

Keywords

BAM neural network
Global stability
Leakage delays
M-matrix
Systems of nonlinear delay differential equations
Time-varying delays

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2014.06.060

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@article{072507464c2c4067b90c1309b3b0b56d,

title = "New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks",

abstract = "We consider a nonlinear non-autonomous system with time-varying delays xi",

keywords = "BAM neural network, Global stability, Leakage delays, M-matrix, Systems of nonlinear delay differential equations, Time-varying delays",

author = "Leonid Berezansky and Elena Braverman and Lev Idels",

note = "Funding Information: The research of the second author was partially supported by NSERC . ",

year = "2014",

month = sep,

day = "15",

doi = "10.1016/j.amc.2014.06.060",

language = "English",

volume = "243",

pages = "899--910",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

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T1 - New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks

AU - Berezansky, Leonid

AU - Braverman, Elena

AU - Idels, Lev

N1 - Funding Information: The research of the second author was partially supported by NSERC .

PY - 2014/9/15

Y1 - 2014/9/15

N2 - We consider a nonlinear non-autonomous system with time-varying delays xi

AB - We consider a nonlinear non-autonomous system with time-varying delays xi

KW - BAM neural network

KW - Global stability

KW - Leakage delays

KW - M-matrix

KW - Systems of nonlinear delay differential equations

KW - Time-varying delays

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U2 - 10.1016/j.amc.2014.06.060

DO - 10.1016/j.amc.2014.06.060

M3 - Article

AN - SCOPUS:84904363466

SN - 0096-3003

VL - 243

SP - 899

EP - 910

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks

Abstract

Keywords

ASJC Scopus subject areas

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