Synchronization of stochastic reaction-diffusion neural networks with Dirichlet boundary conditions and unbounded delays.

Sheng, Yin; Zeng, Zhigang · Neural Netw · 2017

basic_science · Level V

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Abstract

In this paper, synchronization of stochastic reaction-diffusion neural networks with Dirichlet boundary conditions and unbounded discrete time-varying delays is investigated. By virtue of theories of partial differential equations, inequality methods, and stochastic analysis techniques, pth moment exponential synchronization and almost sure exponential synchronization of the underlying neural networks are developed. The obtained results in this study enhance and generalize some earlier ones. The effectiveness and merits of the theoretical criteria are substantiated by two numerical simulations.

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