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“My research interests are focused on Control Theory. More precisely, I am working on the Turnpike Property in Optimal Control Theory and on the Control of Variational Inequalities.”
- 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.
“Long time behaviour of Optimal Control problems and the Turnpike Property”
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.
Read Master’s Thesis…
- Pighin, D., Zuazua, E. Controllability under positivity constraints of semilinear heat equations (Submitted on 21 Nov 2017)