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Trudy Inst. Mat. i Mekh. UrO RAN, 2006, Volume 12, Number 2, Pages 27–46 (Mi timm149)  

This article is cited in 2 scientific papers (total in 2 papers)

Optimal guaranteed control of delay systems

R. Gabasov, N. M. Dmitruk, F. M. Kirillova


Abstract: A linear problem of optimal guaranteed control of a delay system is considered in which geometric constraints on control actions and terminal constraints on states are present. A new concept of a state of the problem that represents a finite-dimensional vector is introduced. Three kinds of optimal feedback are defined. We describe methods for implementing open-loop and closable optimal feedbacks. They are based on a fast dual method for the correction of optimal programs. The results are illustrated by examples.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2006, 255, suppl. 2, S26–S46

Bibliographic databases:

UDC: 517.977
Received: 31.05.2006

Citation: R. Gabasov, N. M. Dmitruk, F. M. Kirillova, “Optimal guaranteed control of delay systems”, Control, stability, and inverse problems of dynamics, Trudy Inst. Mat. i Mekh. UrO RAN, 12, no. 2, 2006, 27–46; Proc. Steklov Inst. Math. (Suppl.), 255, suppl. 2 (2006), S26–S46

Citation in format AMSBIB
\Bibitem{GabDmiKir06}
\by R.~Gabasov, N.~M.~Dmitruk, F.~M.~Kirillova
\paper Optimal guaranteed control of delay systems
\inbook Control, stability, and inverse problems of dynamics
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2006
\vol 12
\issue 2
\pages 27--46
\mathnet{http://mi.mathnet.ru/timm149}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2338473}
\zmath{https://zbmath.org/?q=an:1134.49016}
\elib{https://elibrary.ru/item.asp?id=12040734}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2006
\vol 255
\issue , suppl. 2
\pages S26--S46
\crossref{https://doi.org/10.1134/S0081543806060034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33847005453}


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    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. R. Gabasov, N. M. Dmitruk, F. M. Kirillova, “Decentralized optimal control of dynamical systems under uncertainty”, Comput. Math. Math. Phys., 51:7 (2011), 1128–1145  mathnet  crossref  mathscinet  isi
    2. N. M. Dmitruk, “Optimal strategy with one closing instant for a linear optimal guaranteed control problem”, Comput. Math. Math. Phys., 58:5 (2018), 642–658  mathnet  crossref  crossref  isi  elib
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