<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Department of Applied Sciences and Mathematics College of Arts and Sciences Abu Dhabi University, P.O. Box 59911 Adu Dhabi UAE

Department of Mathematics and Statistics College of Science, P.O. Box 36 Sultan Qaboos University, Muscat 123 SULTANATE OF OMAN

Institute of Mathematics Bulgarian Academy of Sciences Sofia BULGARIA

Tatra Mountains Mathematical Publications

{"article-title":"Impulsive Cohen-Grossberg neural networks with s-type distributed delays"}

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...

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

Publié en ligne: 13 nov. 2012

Pages: 1 - 13

DOI: https://doi.org/10.2478/v10127-011-0001-9

Mots clés
Cohen-Grossberg neural networks, S-delays, exponential stability.

This content is open access.

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

Publié en ligne: 13 nov. 2012

Pages: 1 - 13

DOI: https://doi.org/10.2478/v10127-011-0001-9

Mots clésCohen-Grossberg neural networks, S-delays, exponential stability.

This content is open access.

Mots clés
Cohen-Grossberg neural networks, S-delays, exponential stability.