Needle Variations in Infinite-Horizon Optimal Control

Aseev SM & Veliov VM (2012). Needle Variations in Infinite-Horizon Optimal Control. Research Report 2012-04, Operations Research and Control Systems, Institute of Mathematical Methods in Economics, Vienna University of Technology, Austria (September 2012)

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Abstract

The paper develops the needle variations technique in application to a class of infinite-horizon optimal control problems in which an appropriate relation between the growth rate of the solution and the growth rate of the objective function is satisfied. The optimal objective value does not need to be finite. Based on the concept of weakly overtaking optimality we establish the normal form version of the Pontryagin maximum principle with an explicitly specified adjoint variable. A few illustrative examples are presented as well.

Item Type: Other
Research Programs: Advanced Systems Analysis (ASA)
Bibliographic Reference: Research Report 2012-04, Operations Research and Control Systems, Institute of Mathematical Methods in Economics, Vienna University of Technology, Austria (September 2012)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:47
Last Modified: 17 Feb 2016 12:33
URI: http://pure.iiasa.ac.at/10115

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