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Avtomatika i Telemekhanika, 2021, Issue 1, Pages 3–54
DOI: https://doi.org/10.31857/S0005231021010013 (Mi at15541) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Surveys

Linear matrix inequalities in control systems with uncertainty

B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
Full-text PDF (487 kB) Citations (25)
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DOI: https://doi.org/10.31857/S0005231021010013
Abstract: The survey deals with the application of linear matrix inequalities to taking into account possible uncertainties (in the system description, exogenous disturbances, and the initial conditions) in the control analysis and synthesis for linear systems.
Keywords: control system, stability, exogenous disturbance, robustness, peak, synthesis, linear matrix inequality, quadratic Lyapunov function, invariant ellipsoid, sparsity.
Funding agency Grant number
Russian Foundation for Basic Research 19-18-50226
This work was supported by the Russian Foundation for Basic Research, project no. 19-18-50226.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 30.07.2020
Revised: 08.09.2020
Accepted: 10.09.2020
English version:
Automation and Remote Control, 2021, Volume 82, Issue 1, Pages 1–40
DOI: https://doi.org/10.1134/S000511792101001X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov, “Linear matrix inequalities in control systems with uncertainty”, Avtomat. i Telemekh., 2021, no. 1, 3–54; Autom. Remote Control, 82:1 (2021), 1–40
Citation in format AMSBIB
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:61
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