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math.AP2019
A local input-to-state stability result w.r.t. attractors of nonlinear reaction-diffusion equations
Sergey Dashkovskiy, Oleksiy V. Kapustyan, Jochen Schmid
We establish the local input-to-state stability of a large class of disturbed nonlinear reaction-diffusion equations w.r.t. the global attractor of the respective undisturbed syste…
math.AP2019
Asymptotic gain results for attractors of semilinear systems
Jochen Schmid, Oleksiy V. Kapustyan, Sergey Dashkovskiy
We 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…