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Avtomatika i Telemekhanika, 2019, Issue 8, Pages 29–43
DOI: https://doi.org/10.1134/S000523101908004X (Mi at15178) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Nonlinear Systems

Optimization of bilinear control systems subjected to exogenous disturbances. II. Design

M. V. Khlebnikov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (841 kB) Citations (3)
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DOI: https://doi.org/10.1134/S000523101908004X
Abstract: We obtain and discuss new results related to control design for bilinear systems subjected to arbitrary bounded exogenous disturbances. A procedure for the construction of the stabilizability ellipsoid and the domain of stabilizability for bilinear control systems is proposed and its efficiency is proved. This problem is solved both in continuous and discrete time. The main tool is the linear matrix inequality technique. This simple yet general approach is of great potential and can be widely generalized; for instance, to various robust statements of the problem.
Keywords: bilinear control systems, exogenous bounded disturbances, quadratic Lyapunov functions, linear feedback, stabilizability ellipsoid, domain of stabilizability, linear matrix inequalities.
Funding agency Grant number
Russian Foundation for Basic Research 18-08-00140_а
This work was partially supported by the Russian Foundation for Basic Research, project no. 18-08-00140.

Received: 17.01.2019
Revised: 26.02.2019
Accepted: 25.04.2019
English version:
Automation and Remote Control, 2019, Volume 80, Issue 8, Pages 1390–1402
DOI: https://doi.org/10.1134/S0005117919080022
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Khlebnikov, “Optimization of bilinear control systems subjected to exogenous disturbances. II. Design”, Avtomat. i Telemekh., 2019, no. 8, 29–43; Autom. Remote Control, 80:8 (2019), 1390–1402
Citation in format AMSBIB
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    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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