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.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…
math.OC2025
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…