Synchronization of Discrete-Time Stochastic Neural Networks with Random Delay | Zendy

Haibo Bao | Zendy; Jinde Cao | Zendy

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Synchronization of Discrete-Time Stochastic Neural Networks with Random Delay

Author(s) -

Haibo Bao,

Jinde Cao

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/713502

Subject(s) - bernoulli's principle , bernoulli distribution , synchronization (alternating current) , allowance (engineering) , stochastic neural network , random variable , computer science , mathematics , control theory (sociology) , stochastic process , brownian motion , range (aeronautics) , discrete time and continuous time , artificial neural network , control (management) , topology (electrical circuits) , recurrent neural network , statistics , mechanical engineering , materials science , combinatorics , machine learning , artificial intelligence , engineering , composite material , aerospace engineering

By using a Lyapunov-Krasovskii functional method and the stochasticanalysis technique, we investigate the problem of synchronization for discrete-time stochastic neural networks (DSNNs) with random delays. A control law is designed, and sufficient conditionsare established that guarantee the synchronization of two identical DSNNs with random delays.Compared with the previous works, the time delay is assumed to be existent in a random fashion.The stochastic disturbances are described in terms of a Brownian motion and the time-varyingdelay is characterized by introducing a Bernoulli stochastic variable. Two examples are given toillustrate the effectiveness of the proposed results. The main contribution of this paper is that theobtained results are dependent on not only the bound but also the distribution probability of thetime delay. Moreover, our results provide a larger allowance variation range of the delay, and areless conservative than the traditional delay-independent ones

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