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On indirect method of exponential estimation for neural network model with discretely distributed delays. (English) Zbl 1424.34284

Summary: The purpose of this research is to develop a method of calculation of exponential decay rate for a neural network model based on differential equations with discretely distributed delays. The method results in a quasipolynomial inequality allowing us to investigate the qualitative behavior of the model depending on parameters. In such way we showed inverse dependency in changes of exponential decay rate and time delay. An example of a two-neuron network with four delays is given and numerical simulations are performed to illustrate the obtained results.

MSC:

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