  This paper deals with synchronization of a class of infinite-dimensional
nonlinear 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.
