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Existence and exponential stability of periodic solutions for a class of Cohen–Grossberg neural networks with bounded and unbounded delays

Authors :
Zhang, Fuxing
Liu, Bingwen
Huang, Lihong
Source :
Computers & Mathematics with Applications. May2007, Vol. 53 Issue 9, p1325-1338. 14p.
Publication Year :
2007

Abstract

This paper is concerned with existence and global exponential stability of periodic solutions for a class of Cohen–Grossberg neural networks with bounded and unbounded delays. By the continuation theorem of coincidence degree theory and differential inequality techniques, we deduce some sufficient conditions ensuring existence as well as global exponential stability of periodic solution. These conditions in our results are milder and less restrictive than that of previous known criteria since the hypothesis of boundedness and differentiability on the activation function are dropped. The theoretical analysis are verified by numerical simulations. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08981221
Volume :
53
Issue :
9
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
25106502
Full Text :
https://doi.org/10.1016/j.camwa.2007.01.005