Optimal solutions to the infinite horizon problems: Constructing the optimum as the limit of the solutions for the finite horizon problems

The limit of the solutions for the finite horizon problems is not always optimal for the infinite horizon problems. In this paper, we provide some special conditions that ensure its validity. It can be applied to constructing the optimal solutions for the undiscounted infinite horizon optimization p...

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Veröffentlicht in:	Nonlinear analysis 2009-12, Vol.71 (12), p.e2103-e2108
Hauptverfasser:	Cai, Dapeng, Nitta, Takashi Gyoshin
Format:	Artikel
Sprache:	eng
Schlagworte:	Construction Discounting Horizon Infinite horizon optimization Mathematical analysis Nonlinearity Optimization
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The limit of the solutions for the finite horizon problems is not always optimal for the infinite horizon problems. In this paper, we provide some special conditions that ensure its validity. It can be applied to constructing the optimal solutions for the undiscounted infinite horizon optimization problems. We also demonstrate a simple example to explain this structure.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2009.03.066