Synchronization in an array of linearly stochastically coupled networks with time delays

Jinde Cao, Zidong Wang and Yonghui Sun

Physica A: Statistical Mechanics and its Applications, 2007, vol. 385, issue 2, 718-728

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.

Keywords: Stochastic coupling; Adaptive synchronization; Mean square asymptotic stability; LaSalle invariance principle; Delayed neural networks; Coupling delay (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:385:y:2007:i:2:p:718-728

DOI: 10.1016/j.physa.2007.06.043

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