An Input-Output Framework for Stability and Synchronization Analysis of Networks of Infinite-Dimensional Linear Systems
Tian Xia, Luca Scardovi · SIAM Journal on Control and Optimization · 2025
Abstract. 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 property holds for a large class of infinite-dimensional systems including abstract Cauchy problems, parabolic partial differential equations, and time-delay differential equations.