3 papers
math.OC2026
A simulation study on spatial exponential decay of perturbations in a two-dimensional wave equation with optimal boundary/line control
Benedikt Oppeneiger
Recent results have shown that domain-uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one-dime…
math.OC2026
Spatial exponential decay of perturbations in optimal control of general evolution equations
Simone Göttlich, Benedikt Oppeneiger, Manuel Schaller +1
We analyze the robustness of optimally controlled evolution equations with respect to spatially localized perturbations. We prove that if the involved operators are domain-uniforml…
math.OC2025
Spatial decay of perturbations in hyperbolic equations with optimal boundary control
Benedikt Oppeneiger, Manuel Schaller, Karl Worthmann
Recently, domain-uniform stabilizability and detectability has been the central assumption %in order robustness results on the to ensure robustness in the sense of exponential deca…