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Zbl 1195.82066
Sakthivel, Rathinasamy; Samidurai, R.; Marshal Anthoni, S.
Exponential stability for stochastic neural networks of neutral type with impulsive effects. (English)
[J] Mod. Phys. Lett. B 24, No. 11, 1099-1110 (2010). ISSN 0217-9849

Investigated are those dynamical models of stochastic neural networks of neutral type with impulse effects, for which the activation function and diffusion coefficient satisfy some specific boundedness conditions and in addition the diffusion coefficient is locally Lipschitz continuous. In case a set of linear matrix inequalities are satisfied, one proves that the equilibrium point of the system is globally exponentially stable. A classical Lyapunov functional method is used. The sufficient conditions are tested on a two-neuron neural network.
[Claudia Simionescu-Badea (Wien)]

MSC 2000:: *82C32 Neural nets

Keywords: stochastic neutral neural network; impulsive effects; global exponential stability; linear matrix inequality

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