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Zbl 1143.34048
Jiang, Haijun; Cao, Jinde
BAM-type Cohen-Grossberg neural networks with time delays. (English)
[J] Math. Comput. Modelling 47, No. 1-2, 92-103 (2008). ISSN 0895-7177

Summary: We investigate bidirectional associative memory Cohen-Grossberg neural networks with time delays. By applying the Young inequality technique, Dini derivative, and introducing many real parameters, a series of new and useful criteria on the existence and uniqueness of an equilibrium point and its global asymptotical stability are established. It is shown that in some special cases of the results, the stability criteria can be easily checked. Finally, an example is given to illustrate the result obtained in this paper.

MSC 2000:: *34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks

Keywords: bidirectional associative memory Cohen-Grossberg neural networks; Lyapunov function; time delay; global asymptotical stability; equilibrium point

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