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Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. (English) Zbl 1196.82102

A special class of neural networks of neutral type with mixed delays including leakage delays, time-varying delays and continuously distributed delays is considered. Under some assumptions regarding the activation function, delay kernel and interconnection matrices, one proves that the considered model has a unique equilibrium point. Further a sufficient condition for the global asymptotical stability of this point is indicated. Lyapunov-Krasovski functional and LMI (linear matrix inequality) techniques are used. Two numerical examples are shown.

MSC:

82C32 Neural nets applied to problems in time-dependent statistical mechanics
93D20 Asymptotic stability in control theory

Software:

Matlab
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