50 citations · 98 across the 22 of their papers we have counts for
5 papers · 1 filter
Error estimates for a tree structure algorithm solving finite horizon control problems
Luca Saluzzi, Alessandro Alla, Maurizio Falcone
In the Dynamic Programming approach to optimal control problems a crucial role is played by the value function that is characterized as the unique viscosity solution of a Hamilton-…
Feedback control of parametrized PDEs via model order reduction and dynamic programming principle
Alessandro Alla, Bernard Haasdonk, Andreas Schmidt
In this paper we investigate infinite horizon optimal control problems for parametrized partial differential equations. We are interested in feedback control via dynamic programmin…
A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions
Martin Hess, Alessandro Alla, Annalisa Quaini +2
Reduced-order modeling (ROM) commonly refers to the construction, based on a few solutions (referred to as snapshots) of an expensive discretized partial differential equation (PDE…
An efficient DP algorithm on a tree-structure for finite horizon optimal control problems
Alessandro Alla, Maurizio Falcone, Luca Saluzzi
The classical Dynamic Programming (DP) approach to optimal control problems is based on the characterization of the value function as the unique viscosity solution of a Hamilton-Ja…
Data-driven identification of parametric partial differential equations
Samuel Rudy, Alessandro Alla, Steven L. Brunton +1
In this work we present a data-driven method for the discovery of parametric partial differential equations (PDEs), thus allowing one to disambiguate between the underlying evoluti…