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Erschienen in: Neural Computing and Applications 4/2011

01.06.2011 | Original Article

Stability analysis of stochastic reaction-diffusion delayed neural networks with Levy noise

verfasst von: Jun Peng, Zaiming Liu

Erschienen in: Neural Computing and Applications | Ausgabe 4/2011

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Abstract

This paper studies the stability of stochastic reaction-diffusion delayed recurrent neural networks with Levy noise. Using key tools such as Ito’s formula for general semimartingales, Lyapunov method, and inequality techniques, we find conditions under which the solutions to the neuron models driven by Levy noise are exponentially stable in the mean square.

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Metadaten
Titel
Stability analysis of stochastic reaction-diffusion delayed neural networks with Levy noise
verfasst von
Jun Peng
Zaiming Liu
Publikationsdatum
01.06.2011
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 4/2011
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-011-0541-6

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