Geodesic
Invariant ideals and their applications to the turnpike theory
Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 959-975

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DOI

In this paper, the turnpike property is established for a nonconvex optimal control problem in discrete time. The functional is defined by the notion of the ideal convergence and can be considered as an analogue of the terminal functional defined over infinite-time horizon. The turnpike property states that every optimal solution converges to some unique optimal stationary point in the sense of ideal convergence if the ideal is invariant under translations. This kind of convergence generalizes, for example, statistical convergence and convergence with respect to logarithmic density zero sets.
DOI : 10.4153/S0008439523000036
Mots-clés : I-convergence, I-cluster set, statistical convergence, turnpike property, optimal control, discrete systems 
Mammadov, Musa; Szuca, Piotr. Invariant ideals and their applications to the turnpike theory. Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 959-975. doi: 10.4153/S0008439523000036
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     title = {Invariant ideals and their applications to the turnpike theory},
     journal = {Canadian mathematical bulletin},
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     year = {2023},
     volume = {66},
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