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

*(English)*Zbl 1121.68097Summary: 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.

##### 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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\textit{F. Zhang} et al., Comput. Math. Appl. 53, No. 9, 1325--1338 (2007; Zbl 1121.68097)

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