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Avtomatika i Telemekhanika, 2015, Issue 12, Pages 65–79 (Mi at14329)  
This article is cited in 14 scientific papers (total in 14 papers)

Linear Systems

Linear-quadratic regulator. I. A new solution

M. V. Khlebnikov, P. S. Shcherbakov, V. N. Chestnov

Trapeznikov Institute of Control Sciences, Russian Academy of Science, Moscow, Russia
Full-text PDF (243 kB) Citations (14)
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Abstract: In this paper, the classical linear-quadratic regulator problem is solved via use of the linear matrix inequality technique. This approach is shown to yield the optimal solution obtained by using the matrix Riccati equation. Various undesirable effects are discussed, which may appear when applying other solution methods known from the literature; numerical examples are presented.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 31.12.2013
English version:
Automation and Remote Control, 2015, Volume 76, Issue 12, Pages 2143–2155
DOI: https://doi.org/10.1134/S0005117915120048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Khlebnikov, P. S. Shcherbakov, V. N. Chestnov, “Linear-quadratic regulator. I. A new solution”, Avtomat. i Telemekh., 2015, no. 12, 65–79; Autom. Remote Control, 76:12 (2015), 2143–2155
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2015/i12/p65
    Cycle of papers
    This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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