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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 40–58 (Mi tm3232)  
This article is cited in 3 scientific papers (total in 3 papers)

Optimal synthesis in an infinite-dimensional space

V. F. Borisov, M. I. Zelikina, L. A. Manitab

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
b Moscow State Institute of Electronics and Mathematics (Technical University), Moscow, Russia
Full-text PDF (277 kB) Citations (3)
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Abstract: For a class of optimal control problems and Hamiltonian systems generated by these problems in the space $l_2$, we prove the existence of extremals with a countable number of switchings on a finite time interval. The optimal synthesis that we construct in the space $l_2$ forms a fiber bundle with piecewise smooth two-dimensional fibers consisting of extremals with a countable number of switchings over an infinite-dimensional basis of singular extremals.
Received in November 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 271, Pages 34–52
DOI: https://doi.org/10.1134/S008154381004005X
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. F. Borisov, M. I. Zelikin, L. A. Manita, “Optimal synthesis in an infinite-dimensional space”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 40–58; Proc. Steklov Inst. Math., 271 (2010), 34–52
Citation in format AMSBIB
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\by V.~F.~Borisov, M.~I.~Zelikin, L.~A.~Manita
\paper Optimal synthesis in an infinite-dimensional space
\inbook Differential equations and topology.~II
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2010
\vol 271
\pages 40--58
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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