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Zhang, Fuxing; Liu, Bingwen; Huang, Lihong

Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays. (English) Zbl 1121.68097

Comput. Math. Appl. 53, No. 9, 1325-1338 (2007).
Summary: 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.

Cited in 5 Documents

MSC:

68T05 Learning and adaptive systems in artificial intelligence

Keywords:

Cohen-Grossberg neural networks; periodic solution; exponential stability; coincidence degree theory; bounded and unbounded delays

Software:

dde23
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Full Text: DOI

References:

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