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Erschienen in: Cognitive Neurodynamics 2/2015

01.04.2015 | Research Article

The stability of impulsive stochastic Cohen–Grossberg neural networks with mixed delays and reaction–diffusion terms

verfasst von: Jie Tan, Chuandong Li, Tingwen Huang

Erschienen in: Cognitive Neurodynamics | Ausgabe 2/2015

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Abstract

The global asymptotic stability of impulsive stochastic Cohen–Grossberg neural networks with mixed delays and reaction–diffusion terms is investigated. Under some suitable assumptions and using Lyapunov–Krasovskii functional method, we apply the linear matrix inequality technique to propose some new sufficient conditions for the global asymptotic stability of the addressed model in the stochastic sense. The mixed time delays comprise both the time-varying and continuously distributed delays. The effectiveness of the theoretical result is illustrated by a numerical example.

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Metadaten
Titel
The stability of impulsive stochastic Cohen–Grossberg neural networks with mixed delays and reaction–diffusion terms
verfasst von
Jie Tan
Chuandong Li
Tingwen Huang
Publikationsdatum
01.04.2015
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 2/2015
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-014-9316-y

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