Turnpike results for discrete-time optimal control systems arising in economic dynamics

被引:35
作者
Zaslavski, Alexander J. [1 ]
机构
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
关键词
compact metric space; concave function; good program; infinite horizon; overtaking optimal program; turnpike property;
D O I
10.1016/j.na.2006.08.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work we study the structure of approximate solutions of an autonomous discrete-time control system with a compact metric space of states X. This control system is described by a bounded upper semicontinuous function v : X x X -> R-1 which determines an optimality criterion and by a nonempty closed set Omega subset of X x X which determines a class of admissible trajectories (programs). We are interested in turnpike properties of the approximate solutions which are independent of the length of the interval, for all sufficiently large intervals. For when X is a compact convex subset of a finite-dimensional Euclidean space, the set Omega is convex and the function v is strictly concave we obtain a full description of the structure of approximate solutions. (C) 2006 Elsevier Ltd. All rights reserved.
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页码:2024 / 2049
页数:26
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