We 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 timedelay 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.
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