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 Trudy Inst. Mat. i Mekh. UrO RAN, 2015, Volume 21, Number 2, Pages 41–49 (Mi timm1169)

The problem of finding a guaranteeing program control for a linear system with incomplete information

N. L. Grigorenko, Yu. A. Kondrat'eva, L. N. Luk'yanova

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: For a linear control system with constrained control, the problem of terminal control to a target point is considered. The starting point of the process belongs to a known set, but there is no information on which point of the set is the starting point. Sufficient conditions are given for the existence of a solution of the problem in the class of Yu.S. Osipov and A.V. Kryazhimskii's guaranteeing program packages. Calculation results are presented for a model example.

Keywords: control, incomplete information, linear systems, guaranteeing program packages, program control.

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Document Type: Article
UDC: 517.977

Citation: N. L. Grigorenko, Yu. A. Kondrat'eva, L. N. Luk'yanova, “The problem of finding a guaranteeing program control for a linear system with incomplete information”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 2, 2015, 41–49

Citation in format AMSBIB
\Bibitem{GriKonLuk15} \by N.~L.~Grigorenko, Yu.~A.~Kondrat'eva, L.~N.~Luk'yanova \paper The problem of finding a guaranteeing program control for a linear system with incomplete information \serial Trudy Inst. Mat. i Mekh. UrO RAN \yr 2015 \vol 21 \issue 2 \pages 41--49 \mathnet{http://mi.mathnet.ru/timm1169} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3408877} \elib{http://elibrary.ru/item.asp?id=23607919} 

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This publication is cited in the following articles:
1. M. S. Blizorukova, “On a control problem for a linear system with delay in the control”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 35–42
2. 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
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