An input-output framework for stability and synchronization analysis of networks of infinite-dimensional linear systems

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.