Dashkovskiy, SergeySergeyDashkovskiyKapustyan, OleksiyOleksiyKapustyanSchmid, JochenJochenSchmid2022-03-062022-03-062020https://publica.fraunhofer.de/handle/publica/26878110.1016/j.ifacol.2020.12.25362-s2.0-85107768049We establish local input-to-state stability and asymptotic gain results for a class of nonlinear infinite-dimensional systems with respect to the global attractor of the respective undisturbed system. We apply our results to a large class of reaction-diffusion equations with nontrivial global attractors.en003006519Input-to-state stability results w.r.t. global attractors of semi-linear reaction-diffusion equationsjournal article