30 citations · 76 across the 23 of their papers we have counts for
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A Simulation Study on Turnpikes in Stochastic LQ Optimal Control
Ruchuan Ou, Michael Heinrich Baumann, Lars Grüne +1
This paper presents a simulation study on turnpike phenomena in stochastic optimal control problems. We employ the framework of Polynomial Chaos Expansions (PCE) to investigate the…
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs
Lars Grüne, Manuel Schaller, Anton Schiela
We analyze the sensitivity of the extremal equations that arise from the first order necessary optimality conditions of nonlinear optimal control problems with respect to perturbat…
Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation
Lars Grüne, Manuel Schaller, Anton Schiela
We show how a posteriori goal oriented error estimation can be used to efficiently solve the subproblems occurring in a Model Predictive Control (MPC) algorithm. In MPC, only an in…
Random attraction in the TASEP model
Lars Grüne, Thomas Kriecherbauer, Michael Margaliot
The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications. We consider the case of TASEP with a finite…