Impulsive Cohen-Grossberg neural networks with s-type distributed delays

Haydar Akça; Valéry Covachev

doi:10.2478/v10127-011-0001-9

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Impulsive Cohen-Grossberg neural networks with s-type distributed delays

Tatra Mountains Mathematical Publications

Volume 48 (2011): Issue 1 (April 2011)

By: Haydar Akça and Valéry Covachev

Open Access

|Nov 2012

Abstract

We study impulsive Cohen-Grossberg neural networks with S-type distributed delays. This type of delays in the presence of impulses is more general than the usual types of delays studied in the literature. Using analysis techniques we prove the existence of a unique equilibrium point. By means of simple and efficient Lyapunov functions we present some sufficient conditions for the exponential stability of the equilibrium.

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-011-0001-9 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 1 - 13

Published on: Nov 13, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Cohen-Grossberg neural networks,

S-delays,

exponential stability.

Related subjects:

Mathematics,

General mathematics

© 2012 Haydar Akça, Valéry Covachev, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 48 (2011): Issue 1 (April 2011)