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

 Trudy MIAN: Year: Volume: Issue: Page: Find

 Tr. Mat. Inst. Steklova, 2015, Volume 291, Pages 249–265 (Mi tm3684)

Differential inclusions with unbounded right-hand side and necessary optimality conditions

E. S. Polovinkin

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia

Abstract: We study the properties of the trajectories of a differential inclusion with unbounded measurable–pseudo-Lipschitz right-hand side that takes values in a separable Banach space and consider the problem of minimizing a functional over the set of trajectories of such a differential inclusion on an interval. We obtain necessary optimality conditions in the form of Euler–Lagrange differential inclusions for a problem with free right end.

 Funding Agency Grant Number Russian Foundation for Basic Research 13-01-00295à This work was supported by the Russian Foundation for Basic Research, project no. 13-01-00295a.

DOI: https://doi.org/10.1134/S0371968515040196

Full text: PDF file (245 kB)
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics, 2015, 291, 237–252

Bibliographic databases:

UDC: 517.977

Citation: E. S. Polovinkin, “Differential inclusions with unbounded right-hand side and necessary optimality conditions”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Tr. Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 249–265; Proc. Steklov Inst. Math., 291 (2015), 237–252

Citation in format AMSBIB
\Bibitem{Pol15} \by E.~S.~Polovinkin \paper Differential inclusions with unbounded right-hand side and necessary optimality conditions \inbook Optimal control \bookinfo Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin \serial Tr. Mat. Inst. Steklova \yr 2015 \vol 291 \pages 249--265 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3684} \crossref{https://doi.org/10.1134/S0371968515040196} \elib{http://elibrary.ru/item.asp?id=24776676} \transl \jour Proc. Steklov Inst. Math. \yr 2015 \vol 291 \pages 237--252 \crossref{https://doi.org/10.1134/S0081543815080192} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000369344400019} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84957606497} 

• http://mi.mathnet.ru/eng/tm3684
• https://doi.org/10.1134/S0371968515040196
• http://mi.mathnet.ru/eng/tm/v291/p249

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. E. S. Polovinkin, “Necessary optimality conditions for the Mayer problem with unbounded differential inclusion”, IFAC PAPERSONLINE, 51:32 (2018), 521–524
2. E. S. Polovinkin, “O nepreryvnoi zavisimosti traektorii differentsialnogo vklyucheniya ot nachalnykh priblizhenii”, Tr. IMM UrO RAN, 25, no. 1, 2019, 174–195
3. E. S. Polovinkin, “Pontryagin's Direct Method for Optimization Problems with Differential Inclusion”, Proc. Steklov Inst. Math., 304 (2019), 241–256
•  Number of views: This page: 139 Full text: 9 References: 48 First page: 5