  This paper deals with synchronization of a class of infinite-dimensional
systems. The considered network is described by a collection of semilinear
Lipschitz boundary-actuated infinite-dimensional dynamics. For undirected
connected graphs, sufficient conditions for asymptotic synchronization are
established. We show that the proposed conditions when applied to systems of
hyperbolic semilinear conservation laws can be recast into a set of matrix
inequalities. For this class of systems, sufficient conditions in the form of
linear matrix inequalities for the design of synchronizing policies are
provided.
