Dario Pighin is a PhD Student at 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). Currently, he is studying for his PhD in Control Theory, under the joint supervision of professor Enrique Zuazua.

“I have worked on Controllability of Partial Differential Equations under constraints. Currently, my research is focused on the Turnpike Property in Optimal Control Theory.”

#### Education

• 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$\to+\infty$. 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.

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