Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix

The problem of stochastic synchronization of neutral-type neural networks with multidelays based on M-matrix is researched. Firstly, we designed a control law of stochastic synchronization of the neural-type and multiple time-delays neural network. Secondly, by making use of Lyapunov functional and...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society
Main Authors: Wuneng Zhou, Xueqing Yang, Jun Yang, Jun Zhou
Format: Article
Language:English
Published: Wiley 2015-01-01
Online Access:http://dx.doi.org/10.1155/2015/826810
Description
Summary:The problem of stochastic synchronization of neutral-type neural networks with multidelays based on M-matrix is researched. Firstly, we designed a control law of stochastic synchronization of the neural-type and multiple time-delays neural network. Secondly, by making use of Lyapunov functional and M-matrix method, we obtained a criterion under which the drive and response neutral-type multiple time-delays neural networks with stochastic disturbance and Markovian switching are stochastic synchronization. The synchronization condition is expressed as linear matrix inequality which can be easily solved by MATLAB. Finally, we introduced a numerical example to illustrate the effectiveness of the method and result obtained in this paper.
ISSN:1026-0226
1607-887X