Chair of Computational Mathematics Seminar: Long time behaviour of Optimal Control problems and the Turnpike Property

Long time behavior of Optimal Control problems and the Turnpike Property

Dario Pighin
Universidad Autónoma de Madrid / DeustoTech

Abstract
The seminar will be devoted to the so called Turnpike Property” in Optimal Control Theory, i.e. we will show the convergence of Non-Stationary Optimal Control Problems to the corresponding Stationary one as the time horizon T tends to infinity. Actually, we prove an exponential convergence far away from the initial point and the terminal point. We analyze 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 Linear Convex Case, with controllability and observability assumptions as well.