344 citations · 889 across the 22 of their papers we have counts for
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Well-posedness and robust stability of a nonlinear ODE-PDE system
S. Dashkovskiy, O. Kapustyan, V. Slynko
This work studies stability and robustness of a nonlinear system given as an interconnection of an ODE and a parabolic PDE subjected to external disturbances entering through the b…
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…