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Equilibrium and stability analysis of delayed neural networks under parameter uncertainties. (English) Zbl 1245.34075

A class of neural networks with multiple time delays under parameter uncertainties is studied. The authors prove existence, uniqueness and global asymptotic stability of an equilibrium of such net. In order to do this Lyapunov stability theorem and homeomophism mapping theorem are applied. In this way, delay-independent stability criteria are obtained in terms of network parameters. Numerical examples are provided as well.

MSC:

34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
34K21 Stationary solutions of functional-differential equations
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