21 citations · 41 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
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…
Infinite-time admissibility under compact perturbations
Jochen Schmid
We investigate the behavior of infinite-time admissibility under compact perturbations. We show, by means of two completely different examples, that infinite-time admissibility is…
Well-posedness and stability of non-autonomous semilinear input-output systems
Jochen Schmid
We establish well-posedness results for non-autonomous semilinear input-output systems, the central assumption being the scattering-passivity of the considered semilinear system. W…