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Global stability of bidirectional associative memory neural networks with distributed delays. (English) Zbl 0995.92002

Summary: A model describing dynamics of bidirectional associative memory (BAM) neural networks with distributed delays is considered. Existence and uniqueness of the equilibrium pointsunder more general conditions are also established. Further, we give sufficient criteria of global asymptotic stability (GAS) and uniform stability (US) of equilibrium points. These criteria can be applied to design globally stable networks and thus have important significance in both theory and applications.

MSC:

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