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Stochastic synchronization of coupled neural networks with intermittent control
Authors:Xinsong Yang  Jinde Cao
Institution:a Department of Mathematics, Southeast University, Nanjing 210096, China
b Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China
Abstract:In this Letter, we study the exponential stochastic synchronization problem for coupled neural networks with stochastic noise perturbations. Based on Lyapunov stability theory, inequality techniques, the properties of Weiner process, and adding different intermittent controllers, several sufficient conditions are obtained to ensure exponential stochastic synchronization of coupled neural networks with or without coupling delays under stochastic perturbations. These stochastic synchronization criteria are expressed in terms of several lower-dimensional linear matrix inequalities (LMIs) and can be easily verified. Moreover, the results of this Letter are applicable to both directed and undirected weighted networks. A numerical example and its simulations are offered to show the effectiveness of our new results.
Keywords:05  40  -a  05  45  -a  05  45  Xt
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