  This paper presents a synchronization criterion for networks of
infinite-dimensional linear systems, extending a previous result for
finite-dimensional systems. Our result, established in the general framework of
input-output relations, requires an additional input-output stability property,
compared to the finite-dimensional counterpart. We show that this this property
holds for a large class of infinite-dimensional systems including abstract
Cauchy problems, parabolic partial differential equations, and time-delay
differential equations.
