5 citations · 7 across the 7 of their papers we have counts for
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A Tree Structure Approach to Reachability Analysis
Alessandro Alla, Peter M. Dower, Vincent Liu
Reachability analysis is a powerful tool when it comes to capturing the behaviour, thus verifying the safety, of autonomous systems. However, general-purpose methods, such as Hamil…
Control of fractional diffusion problems via dynamic programming equations
Alessandro Alla, Marta D'Elia, Christian Glusa +1
We explore the approximation of feedback control of integro-differential equations containing a fractional Laplacian term. To obtain feedback control for the state variable of this…
State-dependent Riccati equation feedback stabilization for nonlinear PDEs
Alessandro Alla, Dante Kalise, Valeria Simoncini
The synthesis of suboptimal feedback laws for controlling nonlinear dynamics arising from semi-discretized PDEs is studied. An approach based on the State-dependent Riccati Equatio…
Time adaptivity in model predictive control
Alessandro Alla, Carmen Gräßle, Michael Hinze
The core of the Model Predictive Control (MPC) method in every step of the algorithm consists in solving a time-dependent optimization problem on the prediction horizon of the MPC…
Model order reduction approaches for infinite horizon optimal control problems via the HJB equation
Alessandro Alla, Andreas Schmidt, Bernard Haasdonk
We investigate feedback control for infinite horizon optimal control problems for partial differential equations. The method is based on the coupling between Hamilton-Jacobi-Bellma…