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

43 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

Access to Document

10.1016/j.amc.2014.06.060

Cite this

@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.",

}

TY - JOUR

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

UR - https://www.scopus.com/pages/publications/84904363466

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

Access to Document

Other files and links

Fingerprint

Cite this