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Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 4, Pages 168–177 (Mi timm1124)  

This article is cited in 4 scientific papers (total in 4 papers)

A problem of guaranteed closed-loop guidance by a fixed time for a linear control system with incomplete information. Program solvability criterion

A. V. Kryazhimskiiab, N. V. Strelkovskiicb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b International Institute for Applied Systems Analysis, Laxenburg, Austria
c Lomonosov Moscow State University

Abstract: The method of open-loop control packages is applied to identify solvability conditions in a problem of guaranteed closed-loop guidance of a linear partially observed control system to one of convex target sets by a specified time. The set of admissible initial states is assumed to be finite. The task is reduced to a problem of open-loop guidance of an extended control system, and solvability conditions for this system are described in terms of finite-dimensional convex optimization problems.

Keywords: control, incomplete information, linear systems.

Funding Agency Grant Number
Russian Science Foundation 14-11-00539


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Bibliographic databases:

Document Type: Article
UDC: 517.977
Received: 10.10.2014

Citation: A. V. Kryazhimskii, N. V. Strelkovskii, “A problem of guaranteed closed-loop guidance by a fixed time for a linear control system with incomplete information. Program solvability criterion”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 168–177

Citation in format AMSBIB
\Bibitem{KryStr14}
\by A.~V.~Kryazhimskii, N.~V.~Strelkovskii
\paper A problem of guaranteed closed-loop guidance by a~fixed time for a~linear control system with incomplete information. Program solvability criterion
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 4
\pages 168--177
\mathnet{http://mi.mathnet.ru/timm1124}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3379280}
\elib{http://elibrary.ru/item.asp?id=22515144}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. N. L. Grigorenko, Yu. A. Kondrateva, L. N. Lukyanova, “Zadacha nakhozhdeniya garantiruyuschego programmnogo upravleniya pri nepolnoi informatsii dlya lineinoi sistemy”, Tr. IMM UrO RAN, 21, no. 2, 2015, 41–49  mathnet  mathscinet  elib
    2. N. L. Grigorenko, A. E. Rumyantsev, “On a class of control problems with incomplete information”, Proc. Steklov Inst. Math., 291 (2015), 68–77  mathnet  crossref  crossref  isi  elib
    3. N. L. Grigorenko, A. E. Rumyantsev, “Terminal control of a nonlinear process under disturbances”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 108–116  mathnet  crossref  crossref  mathscinet  isi  elib
    4. P. G. Surkov, “The problem of closed-loop guidance by a given time for a linear control system with delay”, Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 218–227  mathnet  crossref  crossref  mathscinet  isi  elib
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