Neural Networks with distributed delays and Hölder continuous activation functions

Nasser Eddine Tatar

doi:10.18514/MMN.2018.1175

Neural Networks with distributed delays and Hölder continuous activation functions

Nasser Eddine Tatar^*

^*Corresponding author for this work

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

2 Scopus citations

Abstract

We consider a system which arises in Neural Network Theory with distributed delays involving Hölder continuous activation functions. We prove some results on global exponential stability of the system. This extends the previous works where activation functions were assumed to be Lipschitz continuous.

Original language	English
Pages (from-to)	631-640
Number of pages	10
Journal	Miskolc Mathematical Notes
Volume	19
Issue number	1
DOIs	https://doi.org/10.18514/MMN.2018.1175
State	Published - 2018

Bibliographical note

Publisher Copyright:
© 2018 Miskolc University Press.

Keywords

Distributed delay
Exponential stability
Hölder continuity
Neural network
Non-Lipschitz continuity

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Numerical Analysis
Discrete Mathematics and Combinatorics
Control and Optimization

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10.18514/MMN.2018.1175

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title = "Neural Networks with distributed delays and H{\"o}lder continuous activation functions",

abstract = "We consider a system which arises in Neural Network Theory with distributed delays involving H{\"o}lder continuous activation functions. We prove some results on global exponential stability of the system. This extends the previous works where activation functions were assumed to be Lipschitz continuous.",

keywords = "Distributed delay, Exponential stability, H{\"o}lder continuity, Neural network, Non-Lipschitz continuity",

author = "Tatar, \{Nasser Eddine\}",

note = "Publisher Copyright: {\textcopyright} 2018 Miskolc University Press.",

year = "2018",

doi = "10.18514/MMN.2018.1175",

language = "English",

volume = "19",

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T1 - Neural Networks with distributed delays and Hölder continuous activation functions

AU - Tatar, Nasser Eddine

PY - 2018

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N2 - We consider a system which arises in Neural Network Theory with distributed delays involving Hölder continuous activation functions. We prove some results on global exponential stability of the system. This extends the previous works where activation functions were assumed to be Lipschitz continuous.

AB - We consider a system which arises in Neural Network Theory with distributed delays involving Hölder continuous activation functions. We prove some results on global exponential stability of the system. This extends the previous works where activation functions were assumed to be Lipschitz continuous.

KW - Distributed delay

KW - Exponential stability

KW - Hölder continuity

KW - Neural network

KW - Non-Lipschitz continuity

UR - https://www.scopus.com/pages/publications/85049123980

U2 - 10.18514/MMN.2018.1175

DO - 10.18514/MMN.2018.1175

M3 - Article

AN - SCOPUS:85049123980

SN - 1787-2405

VL - 19

SP - 631

EP - 640

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

IS - 1

ER -

Neural Networks with distributed delays and Hölder continuous activation functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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