Schmid, JochenJochenSchmidKapustyan, OleksiyOleksiyKapustyanDashkovskiy, SergeySergeyDashkovskiy2022-03-152022-03-152020https://publica.fraunhofer.de/handle/publica/414319We 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 propertyinput-to-ractorssemilinear systeminfinite-dimensional systemnonlinear reactiostate practical stabilityglobal attn-diffusion equation003006519paper