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math.NA2022
Feedback reconstruction techniques for optimal control problems on a tree structure
Alessandro Alla, Luca Saluzzi
The computation of feedback control using Dynamic Programming equation is a difficult task due the curse of dimensionality. The tree structure algorithm is one the methods introduc…
math.NA2020★ 5 cited
A tree structure algorithm for optimal control problems with state constraints
Alessandro Alla, Maurizio Falcone, Luca Saluzzi
We present a tree structure algorithm for optimal control problems with state constraints. We prove a convergence result for a discrete time approximation of the value function bas…
math.NA2019
A HJB-POD approach for the control of nonlinear PDEs on a tree structure
Alessandro Alla, Luca Saluzzi
The Dynamic Programming approach allows to compute a feedback control for nonlinear problems, but suffers from the curse of dimensionality. The computation of the control relies on…