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Cited article:

The turnpike property and the longtime behavior of the Hamilton–Jacobi–Bellman equation for finite-dimensional LQ control problems

Carlos Esteve, Hicham Kouhkouh, Dario Pighin and Enrique Zuazua
Mathematics of Control, Signals, and Systems 34 (4) 819 (2022)

Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs

Lars Grüne, Manuel Schaller, Anton Schiela, et al.
ESAIM: Control, Optimisation and Calculus of Variations 27 56 (2021)