14 citations · 63 across the 10 of their papers we have counts for
11 papers
Online identification and control of PDEs via Reinforcement Learning methods
Alessandro Alla, Agnese Pacifico, Michele Palladino +1
We focus on the control of unknown Partial Differential Equations (PDEs). The system dynamics is unknown, but we assume we are able to observe its evolution for a given control inp…
Convergence of the Value Function in Optimal Control Problems with Unknown Dynamics
Andrea Pesare, Michele Palladino, Maurizio Falcone
We deal with the convergence of the value function of an approximate control problem with uncertain dynamics to the value function of a nonlinear optimal control problem. The assum…
Stability-Constrained Markov Decision Processes Using MPC
Mario Zanon, Sébastien Gros, Michele Palladino
In this paper, we consider solving discounted Markov Decision Processes (MDPs) under the constraint that the resulting policy is stabilizing. In practice MDPs are solved based on s…
Convergence results for an averaged LQR problem with applications to reinforcement learning
Andrea Pesare, Michele Palladino, Maurizio Falcone
In this paper, we will deal with a Linear Quadratic Optimal Control problem with unknown dynamics. As a modeling assumption, we will suppose that the knowledge that an agent has on…
Variational Problems for Tree Roots and Branches
Alberto Bressan, Michele Palladino, Qing Sun
This paper studies two classes of variational problems introduced in [7], related to the optimal shapes of tree roots and branches. Given a measure describing the distribution…
Regularity of the Hamiltonian along Optimal Trajectories
Michele Palladino, Richard B. Vinter
This paper concerns state constrained optimal control problems, in which the dynamic constraint takes the form of a differential inclusion. If the differential inclusion does not d…
A geometrically based criterion to avoid infimum-gaps in Optimal Control
Michele Palladino, Franco Rampazzo
In optimal control theory the expression infimum gap means a strictly negative difference between the infimum value of a given minimum problem and the infimum value of a new proble…
Hamilton-Jacobi-Bellman Equation for Control Systems with Friction
Fabio Tedone, Michele Palladino
This paper proposes a new framework to model control systems in which a dynamic friction occurs. The model consists in a controlled differential inclusion with a discontinuous righ…
A model for system uncertainty in reinforcement learning
Ryan Murray, Michele Palladino
This work provides a rigorous framework for studying continuous time control problems in uncertain environments. The framework considered models uncertainty in state dynamics as a…
Growth Models for Tree Stems and Vines
Alberto Bressan, Michele Palladino, Wen Shen
The paper introduces a PDE model for the growth of a tree stem or a vine. The equations describe the elongation due to cell growth, and the response to gravity and to external obst…
A Stochastic Model of Optimal Debt Management and Bankruptcy
Alberto Bressan, Antonio Marigonda, Khai T. Nguyen +1
A problem of optimal debt management is modeled as a noncooperative game between a borrower and a pool of lenders, in infinite time horizon with exponential discount. The yearly in…