50 citations · 98 across the 22 of their papers we have counts for
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math.NA2017
Order reduction approaches for the algebraic Riccati equation and the LQR problem
Alessandro Alla, Valeria Simoncini
We explore order reduction techniques for solving the algebraic Riccati equation (ARE), and investigating the numerical solution of the linear-quadratic regulator problem (LQR). A…
math.OC2017★ 21 cited
A Certified Model Reduction Approach for Robust Parameter Optimization with PDE Constraints
Alessandro Alla, Michael Hinze, Philip Kolvenbach +2
We investigate an optimization problem governed by an elliptic partial differential equation with uncertain parameters. We introduce a robust optimization framework that accounts f…