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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1149–1167 (Mi smj1357)  
This article is cited in 1 scientific paper (total in 1 paper)

Properties of solutions to second order evolution control systems. II

A. A. Tolstonogov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (276 kB) Citations (1)
Abstract: We continue the research of the first part of the article. We mainly study codensity for the set of admissible “trajectory-control” pairs of a system with nonconvex constraints in the set of admissible “trajectory-control” pairs of the system with convexified constraints. We state necessary and sufficient conditions for the set of admissible “trajectory-control” pairs of a system with nonconvex constraints to be closed in the corresponding function spaces. Using an example of a control hyperbolic system, we give an interpretation of the abstract results obtained. As application we consider the minimization problem for an integral functional on solutions of a control system.
Keywords: evolution control system, nonconvex constraint, codensity, optimal control, hyperbolic control system.
Received: 10.01.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 926–941
DOI: https://doi.org/10.1023/A:1020167126283
Bibliographic databases:
UDC: 517.988
Language: Russian
Citation: A. A. Tolstonogov, “Properties of solutions to second order evolution control systems. II”, Sibirsk. Mat. Zh., 43:5 (2002), 1149–1167; Siberian Math. J., 43:5 (2002), 926–941
Citation in format AMSBIB
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\paper Properties of solutions to second order evolution control systems.~II
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\vol 43
\issue 5
\pages 1149--1167
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\zmath{https://zbmath.org/?q=an:1017.49004}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 926--941
\crossref{https://doi.org/10.1023/A:1020167126283}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178696400015}
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  • https://www.mathnet.ru/eng/smj/v43/i5/p1149
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