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Title: Synchronization in an array of linearly stochastically coupled networks with time delays
Authors: Cao, J
Wang, Z
Sun, Y
Keywords: Stochastic coupling
Adaptive synchronization
Mean square asymptotic stability
LaSalle invariance principle
Delayed neural networks
Coupling delay
Publication Date: 2007
Publisher: Elsevier
Citation: Physica A: Statistical Mechanics and its Applications, 385(2): 718-728, Nov 2007
Abstract: In this paper, the complete synchronization problem is investigated in an array of linearly stochastically coupled identical networks with time delays. The stochastic coupling term, which can reflect a more realistic dynamical behavior of coupled systems in practice, is introduced to model a coupled system, and the influence from the stochastic noises on the array of coupled delayed neural networks is studied thoroughly. Based on a simple adaptive feedback control scheme and some stochastic analysis techniques, several sufficient conditions are developed to guarantee the synchronization in an array of linearly stochastically coupled neural networks with time delays. Finally, an illustrate example with numerical simulations is exploited to show the effectiveness of the theoretical results.
Description: This is the post print version of the article. The official published version can be obtained from the link - Copyright 2007 Elsevier Ltd
Sponsorship: This work was jointly supported by the National Natural Science Foundation of China under Grant 60574043, the Royal Society of the United Kingdom, the Natural Science Foundation of Jiangsu Province of China under Grant BK2006093, and International Joint Project funded by NSFC and the Royal Society of the United Kingdom.
ISSN: 0378-4371
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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