文章基本信息

标题：Synchronization in Cartesian-Product Networks of Time-Delay Coupled Systems
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作者：Carlos Murguia ; Jonatan Peña ; Niels Jeurgens 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：18
页码：245-250
DOI：10.1016/j.ifacol.2015.11.044
语种：English
出版社：Elsevier
摘要：AbstractWe present a theoretical result about synchronization in Cartesian-product networks of coupled semipassive systems interconnected through diffusive time-delay couplings. First, for two diffusively time-delay coupled systems, we give sufficient conditions that guarantee the existence of a region S* in the parameter space (coupling strength vs. time delay), such that if these parameters belong to the region, the two coupled systems synchronize. Then, using this region S* and the spectral properties of the Cartesian-product, we derive a method to predict the values of coupling strength and time-delay for which diffusive time-delay coupled systems on Cartesian-product networks synchronize. The obtained theoretical results are experimentally validated using an experimental setup built around electronic circuit realizations of the Hindmarsh-Rose neuron model.