Cheng, AdaMorris, Kirsten2018-01-152018-01-152003-01-01https://doi.org/10.1137/S0363012902384916http://hdl.handle.net/10012/12859© Society for Industrial and Applied Mathematics.Continuity of the input/output map for boundary control systems is shown through the system transfer function. Our approach transforms the question of continuity of the input/output map of a boundary control system to uniform boundedness of the solution to a related elliptic problem. This is shown for a class of boundary control systems with Dirichlet, Neumann, or Robin boundary control.eninfinite-dimensional systemsboundary controlinput/output stabilityDependence of solutions on initial and boundary data, parametersSystems governed by partial differential equationsArticle