RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Trudy Inst. Mat. i Mekh. UrO RAN: Year: Volume: Issue: Page: Find

 Trudy Inst. Mat. i Mekh. UrO RAN, 2011, Volume 17, Number 2, Pages 80–87 (Mi timm698)

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

A. A. Davydov, T. S. Shutkina

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.

Keywords: average optimization, periodic process, necessary optimality condition, discounting.

Full text: PDF file (156 kB)
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, 276, suppl. 1, S80–S87

Bibliographic databases:

UDC: 517.977.1

Citation: A. A. Davydov, T. S. Shutkina, “Uniqueness of a cycle with discounting that is optimal with respect to the average time profit”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 80–87; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S80–S87

Citation in format AMSBIB
\Bibitem{DavShu11} \by A.~A.~Davydov, T.~S.~Shutkina \paper Uniqueness of a cycle with discounting that is optimal with respect to the average time profit \serial Trudy Inst. Mat. i Mekh. UrO RAN \yr 2011 \vol 17 \issue 2 \pages 80--87 \mathnet{http://mi.mathnet.ru/timm698} \elib{http://elibrary.ru/item.asp?id=16352394} \transl \jour Proc. Steklov Inst. Math. (Suppl.) \yr 2012 \vol 276 \issue , suppl. 1 \pages S80--S87 \crossref{https://doi.org/10.1134/S008154381202006X} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000305482900006} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84859346800}