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math.OC2020
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…
math.OC2020
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…