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Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays. (English) Zbl 1266.34124
A generalized Cohen-Grossberg BAM neural network with delays of neutral type is studied. First, the authors prove existence and uniqueness of an equilibrium point for such network by means of homeomorphism theory and inequality technique. Global asymptotic stability of the unique equilibrium point is obtained by means of a Lyapunov functional. An example is provided in order to illustrate the theoretical results.

MSC:
34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
34K25 Asymptotic theory of functional-differential equations
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