Postdoctoral Researcher
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)

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 (FAUUniversity 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.

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Released

The turnpike property in nonlinear optimal control – A geometric approach

N. Sakamoto, D. Pighin, E. Zuazua The turnpike property in nonlinear optimal control - A geometric approach. IEEE 58th Conference ...
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Controllability under positivity constraints of multi-d wave equations

Pighin, D., Zuazua, E. Controllability under positivity constraints of multi-d wave equations , Trends in Control Theory and Partial Differential ...
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Controllability under positivity constraints of semilinear heat equations

Pighin, D., Zuazua, E. Controllability under positivity constraints of semilinear heat equations MATH CONTROL RELAT F., Vol. 8, No. 3-4 ...
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Accepted

The turnpike property in semilinear control

D. Pighin The turnpike property in semilinear control ESAIM Control Optim. Calc. Var (2021) Abstract.An exponential turnpike property for a ...
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Nonuniqueness of minimizers for semilinear optimal control problems

D. Pighin. Nonuniqueness of minimizers for semilinear optimal control problems. J Eur. Math. Soc. (2021) Abstract. A counterexample to uniqueness ...
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Submitted

The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation

C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation Abstract: In ...
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Large-time asymptotics in deep learning

Esteve C., Geshkovski B., Pighin D., Zuazua E. Large-time asymptotics in deep learning (2021). hal-02912516 Abstract. It is by now well-known ...
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Rotor imbalance suppression by optimal control

M. Gnuffi, D. Pighin, N. Sakamoto Rotor imbalance suppression by optimal control (2021) Abstract. An imbalanced rotor is considered. A ...
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Turnpike in Lipschitz-nonlinear optimal control

Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control (2020) Abstract. We present a new ...
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The turnpike with lack of observability

Pighin D., Sakamoto N. The turnpike with lack of observability (2020) Abstract: We obtain turnpike results for optimal control problems with ...
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