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Global stability of cellular neural networks with constant and variable delays. (English) Zbl 1011.92006

A class of cellular neural networks (CNNs) with variable delays is studied. Sufficient conditions for global asymptotic stability of such CNNs are presented. Global exponential stability for CNNs with variable delays is proved by using appropriate Lyapunov functions. Some examples are given as well.

MSC:

92B20 Neural networks for/in biological studies, artificial life and related topics
34K20 Stability theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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References:

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