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@incollection{faucris.253635298,
abstract = {In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some norm and therefore it is in general not differentiable. In the optimal control problem, the initial state is prescribed. We assume that the system is either exactly controllable in the classical sense or nodal profile controllable. We show that both for systems that are governed by ordinary differential equations and for infinite-dimensional systems, for example for boundary control systems governed by the wave equation, under certain assumptions the optimal system state is steered exactly to the desired state after finite tim},
address = {6330 Cham, Switzerland},
author = {Gugat, Martin and Zuazua, Enrique and Schuster, Michael},
booktitle = {Stabilization of Distributed Parameter Systems: Design Methods and Applications},
doi = {10.1007/978-3-030-61742-4},
editor = {Grigory Sklyar, Alexander Zuyev},
faupublication = {yes},
keywords = {Turnpike phenomenon; finite time; optimal control problems;},
pages = {17-41},
peerreviewed = {Yes},
publisher = {Springer Nature Switzerland AG.The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland},
series = {SEMA SIMAI Springer SeriesICIAM 2019 SEMA SIMAI Springer Series},
title = {{The} {Finite}-{Time} {Turnpike} {Phenomenonfor} {Optimal} {Control} {Problems}:{Stabilization} by {Non}-smooth {TrackingTerms}},
volume = {2},
year = {2021}
}