62 citations · 155 across the 41 of their papers we have counts for
51 papers
Optimal Inflow Control for Transport Equations with Uncertain Velocities and Demand
Simone Göttlich, Thomas Schillinger
We study optimal inflow control for a linear transport equation subject to uncertainty in both time-dependent downstream demand and transport velocity. The random velocity induces…
Influence of Routing and Speed Limits on Optimal Solutions in Traffic Emission Modeling
Marc-André Bach, Simone Göttlich, Alena Ulke
We investigate the influence of routing strategies and speed limit policies on optimal solutions in traffic emission models. Building on a first-order macroscopic traffic model cou…
Exponential stability of finite- consensus-based optimization
Simone Göttlich, Jacob Heieck, Andreas Neuenkirch
We study the finite-agent behavior of Consensus-Based Optimization (CBO), a recent metaheuristic for the global minimization of a function, that combines drift toward a consensus e…
A nonlocal model for heterogeneous material flow on conveyor belts
Paola Goatin, Simone Göttlich, Fabian Ziegler
In this paper, a finite volume approximation scheme is used to solve a nonlocal macroscopic material flow model in two space dimensions, accounting for the presence of boundaries i…
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…
Steady State Blended Gas Flow on Networks: Existence and Uniqueness of Solutions
Alena Ulke, Michael Schuster, Simone Göttlich
We prove an existence result for the steady state flow of gas mixtures on networks. The basis of the model are the physical principles of the isothermal Euler equation, coupling co…