Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays

Chuangxia Huang, Xinsong Yang, Yigang He and Lehua Huang

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-16

Abstract:

Stability of reaction-diffusion recurrent neural networks (RNNs) with continuously distributed delays and stochastic influence are considered. Some new sufficient conditions to guarantee the almost sure exponential stability and mean square exponential stability of an equilibrium solution are obtained, respectively. Lyapunov's functional method, M-matrix properties, some inequality technique, and nonnegative semimartingale convergence theorem are used in our approach. The obtained conclusions improve some published results.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:570295

DOI: 10.1155/2011/570295

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