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Zbl 1196.82102
Li, Xiaodi; Cao, Jinde
Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. (English)
[J] Nonlinearity 23, No. 7, 1709-1726 (2010). ISSN 0951-7715; ISSN 1361-6544/e

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.
[Claudia Simionescu-Badea (Wien)]

MSC 2000:: *82C32 Neural nets
93D20 Asymptotic stability of control systems

Keywords: neural networks; mixed delays; asymptotical stability; Lyapunov-Krasovski functional

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