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Titlebook: Optimal Control Problems Arising in Forest Management; Alexander J. Zaslavski Book 2019 The Author(s), under exclusive license to Springer

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Infinite Horizon Optimal Control Problems,timal control problem which is also introduced in this chapter. The corresponding infinite horizon problems without discounting as well as with discounting are considered. The results of the chapter were obtained from Zaslavski (Commun Math Anal 9:1–11, 2010; Commun Appl Nonlinear Anal 17:1–14, 2010
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Turnpike Properties,ts for approximate solutions and the stability of the turnpike phenomenon. We prove the existence of solutions of the corresponding infinite horizon problems and show the equivalence of different optimality criterions for these problems. Most results of this chapter were obtained from Zaslavski (Dyn
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Structure of Solutions in the Regions Close to the Endpoints,ompact metric space of states. This control system is described by a bounded upper semicontinuous objective function which determines an optimality criterion. In the turnpike theory, it is known that approximate solutions are determined mainly by the objective function, and are essentially independe
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