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Optimality Conditions for Discrete-Time Optimal Control on Infinite Horizon.
Aseev SM; Krastanov MI; Veliov VM
发表日期2016
出处Reseach Unit ORCOS, Vienna University of Technology , Vienna, Austria.
出版年2016
语种英语
摘要The paper presents first order necessary optimality conditions of Pontrygin's type for a general class of discrete-time optimal control problems on infinite horizon. The main novelty is that the adjoint function, for which the (local) maximum condition in the Pontryagin principle holds, is explicitly defined for any given optimal state-control process. This is done based on ideas from previous papers of the first and the last authors concerning continuous-time problems. In addition, the obtained (local) maximum principle is in a normal form, and the optimality has the general meaning of weakly overtaking optimality (hence unbounded processes are allowed), which is important for many economic applications. Two examples are given, which demonstrate the applicability of the obtained results in cases where the known necessary optimality conditions fail to identify the optimal solutions.
主题Advanced Systems Analysis (ASA)
关键词discrete-time control systems, optimality conditions, Pontryagin maximum principle, transversality conditions.
URLhttp://pure.iiasa.ac.at/id/eprint/13925/
来源智库International Institute for Applied Systems Analysis (Austria)
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/135725
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Aseev SM,Krastanov MI,Veliov VM. Optimality Conditions for Discrete-Time Optimal Control on Infinite Horizon.. 2016.
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