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

Author:

Zhou Wuneng12ORCID,Yang Xueqing1,Yang Jun1,Zhou Jun1

Affiliation:

1. College of Information Sciences and Technology, Donghua University, Shanghai 201620, China

2. Engineering Research Center of Digitized Textile & Fashion Technology, Ministry of Education, Donghua University, Shanghai 201620, China

Abstract

The problem of stochastic synchronization of neutral-type neural networks with multidelays based onM-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 andM-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.

Funder

Natural Science Foundation of Shanghai

Publisher

Hindawi Limited

Subject

Modelling and Simulation

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