Needle variations in infinite-horizon optimal control

Aseev SM & Veliov VM (2014). Needle variations in infinite-horizon optimal control. In: Variational and Optimal Control Problems on Unbounded Domains. Eds. Wolansky, G & Zaslavski, AJ, RI: American Mathematical Society (Providence. ISBN 978-1-4704-1077-3 DOI:10.1090/conm/619.

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Abstract

The paper develops the needle variations technique for 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 a normal form version of the Pontryagin maximum principle with an explicitly specified adjoint variable. A few illustrative examples are present as well.

Item Type: Book Section
Research Programs: Advanced Systems Analysis (ASA)
Bibliographic Reference: In: G Wolansky, AJ Zaslavski (eds); Variational and Optimal Control Problems on Unbounded Domains; American Mathematical Society (Providence, RI, USA) & Bar-Ilan University (Ramat-Gan, Israel) pp.1-17
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Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:51
Last Modified: 17 Feb 2016 12:36
URI: http://pure.iiasa.ac.at/11105

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