eprintid: 13925
rev_number: 9
eprint_status: archive
userid: 5
dir: disk0/00/01/39/25
datestamp: 2016-11-09 14:25:02
lastmod: 2021-08-27 17:27:58
status_changed: 2016-11-09 14:25:02
type: other
metadata_visibility: show
item_issues_count: 3
creators_name: Aseev, S.M.
creators_name: Krastanov, M.I.
creators_name: Veliov, V.M.
creators_id: 6509
creators_id: AL1337
title: Optimality Conditions for Discrete-Time Optimal Control on Infinite Horizon
ispublished: pub
divisions: prog_asa
keywords: discrete-time control systems, optimality conditions, Pontryagin maximum principle, transversality conditions.
note: SWM/ORCOS Research Report 2016-09
abstract: 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.
date: 2016-11
date_type: published
publisher: Reseach Unit ORCOS, Vienna University of Technology
official_url: http://orcos.tuwien.ac.at/fileadmin/t/orcos/Research_Reports/2016-09.pdf
creators_browse_id: 19
creators_browse_id: 2479
full_text_status: public
place_of_pub: Vienna, Austria
pages: 17
institution: Operations Research and Control Systems
department: Institute of Statistics and Mathematical Methods in Economics
funders: The work was supported by Sofia University "St. Kliment Ohridski" under contract No. 58/06.04.2016 (the second author), and the Austrian Science Foundation (FWF) under grant No P26640-N25 (the third author).
coversheets_dirty: FALSE
fp7_type: info:eu-repo/semantics/other
citation:   Aseev, S.M. <https://pure.iiasa.ac.at/view/iiasa/19.html>, Krastanov, M.I., & Veliov, V.M. <https://pure.iiasa.ac.at/view/iiasa/2479.html>  (2016).  Optimality Conditions for Discrete-Time Optimal Control on Infinite Horizon.    Reseach Unit ORCOS, Vienna University of Technology , Vienna, Austria.     
document_url: https://pure.iiasa.ac.at/id/eprint/13925/1/2016-09%281%29.pdf