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

Authors:
Fuxing Zhang;Bingwen Liu;Lihong Huang
Affiliations:
Department of Mathematics, Shaoyang University, Shaoyang, Hunan 422000, China;College of Mathematics and Information Science, Jiaxing University, Jiaxing, Zhejiang 314001, China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China
Venue:
Computers & Mathematics with Applications
Year:
2007

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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.