학술논문
Invariant ideals and their applications to the turnpike theory.
Document Type
Journal
Author
Mammadov, Musa (5-DEAK-IFT) AMS Author Profile; Szuca, Piotr (PL-GDAN) AMS Author Profile
Source
Subject
49 Calculus of variations and optimal control; optimization -- 49K Optimality conditions
49K21Problems involving relations other than differential equations
54General topology -- 54A Generalities
54A20Convergence in general topology
49K21
54
54A20
Language
English
Abstract
Summary: ``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.''