Uniqueness of a cycle with discounting that is optimal with respect to the average time profit

Davydov, A.A. & Shutkina, T.S. (2011). Uniqueness of a cycle with discounting that is optimal with respect to the average time profit. Proceedings of the Institute of Mathematics and Mechanics UrB RAS 17 (2) 80-87.

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Abstract

For cyclic processes modeled by periodic motions of a continuous control system on a circle, we prove the uniqueness of a cycle maximizing the average one-period time profit in the case of discounting provided that the minimum and maximum velocities of the system coincide at some points only and the profit density is a differentiable function with a finite number of critical points. The uniqueness theorem is an analog of Arnolds theorem on the uniqueness of such a cycle in the case when the profit gathered along the cycle is not discounted.

Item Type:	Article
Uncontrolled Keywords:	Average optimization; Periodic process; Necessary optimality condition; Discounting
Research Programs:	Advanced Systems Analysis (ASA)
Bibliographic Reference:	Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences; 17(2):80-87
Depositing User:	IIASA Import
Date Deposited:	15 Jan 2016 08:45
Last Modified:	27 Aug 2021 17:39
URI:	https://pure.iiasa.ac.at/9593

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