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Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 4, Pages 153–167 (Mi timm1123)  

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

On the polyhedral method of solving problems of control strategy synthesis

E. K. Kostousova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: We consider control synthesis problems for linear and bilinear differential systems. Two types of problems are studied: when controls are additive and when they enter the matrix of the system. For both types we consider cases without uncertainty and cases with uncertainty, including additive parallelotope-valued uncertainties and interval uncertainties in the coefficients of the system. We continue to develop the methods of “polyhedral” synthesis of controls with the use of polyhedral (parallelotope-valued) solvability tubes. We propose new control strategies, which can be calculated by explicit formulas based on the mentioned tubes, and consider similar synthesis problems for multistep systems.

Keywords: control synthesis, solvability tubes, polyhedral estimates, parallelotopes, interval analysis.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, 292, suppl. 1, 140–155

Bibliographic databases:

Document Type: Article
UDC: 517.977
Received: 17.02.2014

Citation: E. K. Kostousova, “On the polyhedral method of solving problems of control strategy synthesis”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 153–167; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 140–155

Citation in format AMSBIB
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\paper On the polyhedral method of solving problems of control strategy synthesis
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 4
\pages 153--167
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 292
\issue , suppl. 1
\pages 140--155
\crossref{https://doi.org/10.1134/S0081543816020127}
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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. E. K. Kostousova, “O poliedralnom metode resheniya zadach sinteza strategii upravleniya v mnogoshagovykh sistemakh s neopredelennostyami i fazovymi ogranicheniyami”, Tr. IMM UrO RAN, 23, no. 2, 2017, 151–166  mathnet  crossref  elib
    2. E. K. Kostousova, “On feedback target control for uncertain discrete-time bilinear systems with state constraints through polyhedral technique”, Application of Mathematics in Technical and Natural Sciences, AIP Conf. Proc., 1895, ed. M. Todorov, Amer. Inst. Phys., 2017, UNSP 110004-1  crossref  mathscinet  isi  scopus
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