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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…
Inverse demand tracking in transportation networks
Simone Göttlich, Patrick Mehlitz, Thomas Schillinger
This paper deals with the reconstruction of the desired demand in an optimal control problem, stated over a tree-shaped transportation network which is governed by a linear hyperbo…
Stochastic optimal control for nonlinear damped network dynamics
Simone Göttlich, Thomas Schillinger
We present a stochastic optimal control problem for a tree network. The dynamics of the network are governed by transport equations with a special emphasis on the non-linear dampin…
Control Strategies for Transport Networks under Demand Uncertainty
Simone Göttlich, Thomas Schillinger
In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditi…