Asymptotic Stability of Stochastic Delayed Recurrent Neural Networks with Impulsive Effects

Asymptotic Stability of Stochastic Delayed Recurrent Neural Networks with Impulsive Effects

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Article ID: iaor20108147
Volume: 147
Issue: 3
Start Page Number: 583
End Page Number: 596
Publication Date: Dec 2010
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: optimization
Abstract:

In this paper, the asymptotic stability for a class of stochastic neural networks with time‐varying delays and impulsive effects are considered. By employing the Lyapunov functional method, combined with linear matrix inequality optimization approach, a new set of sufficient conditions are derived for the asymptotic stability of stochastic delayed recurrent neural networks with impulses. A numerical example is given to show that the proposed result significantly improve the allowable upper bounds of delays over some existing results in the literature.

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