Schmid, JochenJochenSchmidKapustyan, O.O.KapustyanDashkovskiy, S.S.Dashkovskiy2022-10-102022-10-102022https://publica.fraunhofer.de/handle/publica/42746610.3934/mcrf.20210442-s2.0-85134408127We establish asymptotic gain along with input-to-state practical stability results for disturbed semilinear systems w.r.t. the global attractor of the respective undisturbed system. We apply our results to a large class of nonlinear reaction-diffusion equations comprising disturbed Chaffee-Infante equations, for example.enAsymptotic gain propertyglobal attractorsinfinite-dimensional systemsinput-to-state practical stabilitynonlinear reaction-diffusion equationssemilinear systemsjournal article