Postdoctoral Researcher
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| I got my PhD on April 24th, 2020 in Control Theory at DyCon ERC Advanced Grant project. I have worked on Controllability of Partial Differential Equations under constraints. Currently, my research is focused on the Turnpike Property in Optimal Control Theory. PhD Defense (Apr 24th, 2020) |
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Dario Pighin is a Postdoctoral Researcher from Universidad Autónoma de Madrid (UAM). He earned both the Bachelor’s Degree and the Master’s Degree in Mathematics at the University of Rome Tor Vergata (Rome 2).
He got his PhD in Control Theory, under the joint supervision of Prof. Enrique Zuazua (FAU, University of Deusto and Universidad Autónoma de Madrid).
- Master degree in Pure and Applied Mathematics (2014-2016), University of Rome Tor Vergata, Rome, Italy.
- Bachelor’s Degree in Mathematics (2011-2014), University of Rome Tor Vergata, Rome, Italy.
Master’s Thesis. “Long time behaviour of Optimal Control problems and the Turnpike Property”
Description. The dissertation is devoted to the the study of the so called “Turnpike Property” in Optimal Control Theory, i.e. we show the convergence of Non-Stationary Optimal Control Problems to the corresponding Stationary one as the time horizon T→+∞. Actually we prove an exponential convergence far away from the initial point and the terminal point. We analyse both the Finite Dimensional and Infinite Dimensional Linear Quadratic Case with some controllability and observability assumptions. Furthermore, we extend our analysis to a Finite Dimensional NonLinear Convex Case, with controllability and observability assumptions as well.
Released
Nonuniqueness of minimizers for semilinear optimal control problems
The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems
Turnpike in Lipschitz-nonlinear optimal control
The turnpike property in semilinear control
The turnpike property in nonlinear optimal control – A geometric approach
Controllability under positivity constraints of multi-d wave equations
Controllability under positivity constraints of semilinear heat equations
Accepted
Submitted
The turnpike with lack of observability
Large-time asymptotics in deep learning
- “Controllability under constraints” | PDF Slides
- “Turnpike theory and applications” | PDF Slides
