  This paper studies a consensus problem in multidimensional networks having
the same agent-to-agent interaction pattern under both intra- and cross-layer
time delays. Several conditions for the agents to globally asymptotically
achieve a consensus are derived, which involve the overall network's structure,
the local interacting pattern, and the values of the time delays. The validity
of these conditions is proved by direct eigenvalue evaluation and supported by
numerical simulations.
